Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.17 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24257 | − | 0.675295i | −0.878629 | − | 0.477505i | ||||
\(3\) | 1.66780 | − | 0.467376i | 0.962905 | − | 0.269839i | ||||
\(4\) | 1.08795 | + | 1.67820i | 0.543977 | + | 0.839100i | ||||
\(5\) | −0.690567 | + | 0.454193i | −0.308831 | + | 0.203121i | −0.694458 | − | 0.719534i | \(-0.744356\pi\) |
0.385627 | + | 0.922655i | \(0.373985\pi\) | |||||||
\(6\) | −2.38797 | − | 0.545511i | −0.974886 | − | 0.222704i | ||||
\(7\) | 1.79170 | + | 1.69038i | 0.677198 | + | 0.638903i | 0.945952 | − | 0.324306i | \(-0.105131\pi\) |
−0.268755 | + | 0.963209i | \(0.586612\pi\) | |||||||
\(8\) | −0.218578 | − | 2.81997i | −0.0772791 | − | 0.997009i | ||||
\(9\) | 2.56312 | − | 1.55898i | 0.854373 | − | 0.519660i | ||||
\(10\) | 1.16479 | − | 0.0980299i | 0.368339 | − | 0.0309998i | ||||
\(11\) | 2.65771 | + | 5.29194i | 0.801331 | + | 1.59558i | 0.803294 | + | 0.595582i | \(0.203079\pi\) |
−0.00196389 | + | 0.999998i | \(0.500625\pi\) | |||||||
\(12\) | 2.59884 | + | 2.29042i | 0.750221 | + | 0.661187i | ||||
\(13\) | −4.45793 | + | 1.92296i | −1.23641 | + | 0.533334i | −0.911065 | − | 0.412262i | \(-0.864739\pi\) |
−0.325343 | + | 0.945596i | \(0.605480\pi\) | |||||||
\(14\) | −1.08480 | − | 3.31034i | −0.289926 | − | 0.884724i | ||||
\(15\) | −0.939449 | + | 1.08026i | −0.242565 | + | 0.278921i | ||||
\(16\) | −1.63271 | + | 3.65161i | −0.408178 | + | 0.912902i | ||||
\(17\) | −1.63454 | − | 1.94797i | −0.396435 | − | 0.472452i | 0.530495 | − | 0.847688i | \(-0.322006\pi\) |
−0.926929 | + | 0.375236i | \(0.877562\pi\) | |||||||
\(18\) | −4.23762 | + | 0.206277i | −0.998817 | + | 0.0486200i | ||||
\(19\) | 4.54105 | + | 3.81039i | 1.04179 | + | 0.874163i | 0.992206 | − | 0.124607i | \(-0.0397669\pi\) |
0.0495811 | + | 0.998770i | \(0.484211\pi\) | |||||||
\(20\) | −1.51353 | − | 0.664768i | −0.338436 | − | 0.148647i | ||||
\(21\) | 3.77824 | + | 1.98182i | 0.824479 | + | 0.432469i | ||||
\(22\) | 0.271229 | − | 8.37034i | 0.0578262 | − | 1.78456i | ||||
\(23\) | −4.49074 | − | 4.75991i | −0.936384 | − | 0.992509i | 0.0636013 | − | 0.997975i | \(-0.479741\pi\) |
−0.999985 | + | 0.00546656i | \(0.998260\pi\) | |||||||
\(24\) | −1.68253 | − | 4.60099i | −0.343445 | − | 0.939173i | ||||
\(25\) | −1.70981 | + | 3.96378i | −0.341961 | + | 0.792756i | ||||
\(26\) | 6.83786 | + | 0.621003i | 1.34101 | + | 0.121789i | ||||
\(27\) | 3.54615 | − | 3.79801i | 0.682456 | − | 0.730927i | ||||
\(28\) | −0.887510 | + | 4.84588i | −0.167724 | + | 0.915785i | ||||
\(29\) | 0.241880 | − | 0.0282717i | 0.0449160 | − | 0.00524992i | −0.0936052 | − | 0.995609i | \(-0.529839\pi\) |
0.138521 | + | 0.990359i | \(0.455765\pi\) | |||||||
\(30\) | 1.89682 | − | 0.707889i | 0.346311 | − | 0.129242i | ||||
\(31\) | 1.82303 | + | 7.69198i | 0.327426 | + | 1.38152i | 0.849036 | + | 0.528336i | \(0.177184\pi\) |
−0.521609 | + | 0.853185i | \(0.674668\pi\) | |||||||
\(32\) | 4.49467 | − | 3.43482i | 0.794553 | − | 0.607195i | ||||
\(33\) | 6.90586 | + | 7.58375i | 1.20216 | + | 1.32016i | ||||
\(34\) | 0.715576 | + | 3.52429i | 0.122720 | + | 0.604410i | ||||
\(35\) | −2.00504 | − | 0.353544i | −0.338914 | − | 0.0597598i | ||||
\(36\) | 5.40484 | + | 2.60533i | 0.900806 | + | 0.434222i | ||||
\(37\) | 4.74486 | − | 0.836646i | 0.780050 | − | 0.137544i | 0.230575 | − | 0.973054i | \(-0.425939\pi\) |
0.549474 | + | 0.835511i | \(0.314828\pi\) | |||||||
\(38\) | −3.06943 | − | 7.80121i | −0.497927 | − | 1.26552i | ||||
\(39\) | −6.53620 | + | 5.29065i | −1.04663 | + | 0.847182i | ||||
\(40\) | 1.43175 | + | 1.84810i | 0.226380 | + | 0.292210i | ||||
\(41\) | −3.29326 | − | 2.45174i | −0.514321 | − | 0.382898i | 0.308477 | − | 0.951232i | \(-0.400181\pi\) |
−0.822798 | + | 0.568334i | \(0.807588\pi\) | |||||||
\(42\) | −3.35641 | − | 5.01397i | −0.517905 | − | 0.773672i | ||||
\(43\) | 0.248525 | − | 4.26702i | 0.0378998 | − | 0.650714i | −0.924852 | − | 0.380327i | \(-0.875811\pi\) |
0.962752 | − | 0.270387i | \(-0.0871516\pi\) | |||||||
\(44\) | −5.98947 | + | 10.2176i | −0.902946 | + | 1.54036i | ||||
\(45\) | −1.06193 | + | 2.24073i | −0.158303 | + | 0.334028i | ||||
\(46\) | 2.36571 | + | 8.94708i | 0.348805 | + | 1.31918i | ||||
\(47\) | −0.190946 | − | 0.0452551i | −0.0278524 | − | 0.00660113i | 0.216666 | − | 0.976246i | \(-0.430482\pi\) |
−0.244518 | + | 0.969645i | \(0.578630\pi\) | |||||||
\(48\) | −1.01636 | + | 6.85325i | −0.146699 | + | 0.989181i | ||||
\(49\) | −0.0542166 | − | 0.930864i | −0.00774523 | − | 0.132981i | ||||
\(50\) | 4.80127 | − | 3.77064i | 0.679002 | − | 0.533250i | ||||
\(51\) | −3.63652 | − | 2.48488i | −0.509215 | − | 0.347953i | ||||
\(52\) | −8.07715 | − | 5.38921i | −1.12010 | − | 0.747348i | ||||
\(53\) | 1.90819 | + | 3.30508i | 0.262110 | + | 0.453988i | 0.966802 | − | 0.255525i | \(-0.0822483\pi\) |
−0.704692 | + | 0.709513i | \(0.748915\pi\) | |||||||
\(54\) | −6.97110 | + | 2.32459i | −0.948647 | + | 0.316337i | ||||
\(55\) | −4.23889 | − | 2.44732i | −0.571572 | − | 0.329997i | ||||
\(56\) | 4.37519 | − | 5.42201i | 0.584659 | − | 0.724547i | ||||
\(57\) | 9.35444 | + | 4.23260i | 1.23903 | + | 0.560621i | ||||
\(58\) | −0.319644 | − | 0.128211i | −0.0419713 | − | 0.0168349i | ||||
\(59\) | 2.37993 | − | 4.73883i | 0.309840 | − | 0.616942i | −0.683784 | − | 0.729684i | \(-0.739667\pi\) |
0.993624 | + | 0.112742i | \(0.0359633\pi\) | |||||||
\(60\) | −2.83497 | − | 0.401313i | −0.365993 | − | 0.0518093i | ||||
\(61\) | 13.5883 | − | 4.06807i | 1.73981 | − | 0.520863i | 0.749772 | − | 0.661697i | \(-0.230163\pi\) |
0.990033 | + | 0.140833i | \(0.0449781\pi\) | |||||||
\(62\) | 2.92911 | − | 10.7889i | 0.371997 | − | 1.37019i | ||||
\(63\) | 7.22760 | + | 1.53943i | 0.910592 | + | 0.193949i | ||||
\(64\) | −7.90445 | + | 1.23277i | −0.988056 | + | 0.154096i | ||||
\(65\) | 2.20510 | − | 3.35270i | 0.273509 | − | 0.415851i | ||||
\(66\) | −3.45974 | − | 14.0868i | −0.425864 | − | 1.73397i | ||||
\(67\) | −7.86114 | − | 0.918835i | −0.960391 | − | 0.112254i | −0.378572 | − | 0.925572i | \(-0.623585\pi\) |
−0.581819 | + | 0.813318i | \(0.697659\pi\) | |||||||
\(68\) | 1.49078 | − | 4.86239i | 0.180783 | − | 0.589652i | ||||
\(69\) | −9.71432 | − | 5.83971i | −1.16947 | − | 0.703019i | ||||
\(70\) | 2.25266 | + | 1.79330i | 0.269244 | + | 0.214340i | ||||
\(71\) | 1.73768 | + | 0.632462i | 0.206224 | + | 0.0750594i | 0.443067 | − | 0.896489i | \(-0.353890\pi\) |
−0.236843 | + | 0.971548i | \(0.576113\pi\) | |||||||
\(72\) | −4.95651 | − | 6.88716i | −0.584131 | − | 0.811659i | ||||
\(73\) | 1.83089 | − | 0.666389i | 0.214289 | − | 0.0779950i | −0.232645 | − | 0.972562i | \(-0.574738\pi\) |
0.446934 | + | 0.894567i | \(0.352516\pi\) | |||||||
\(74\) | −6.46079 | − | 2.16459i | −0.751052 | − | 0.251628i | ||||
\(75\) | −0.999045 | + | 7.40992i | −0.115360 | + | 0.855624i | ||||
\(76\) | −1.45415 | + | 11.7663i | −0.166802 | + | 1.34969i | ||||
\(77\) | −4.18357 | + | 13.9741i | −0.476762 | + | 1.59250i | ||||
\(78\) | 11.6944 | − | 2.16014i | 1.32413 | − | 0.244588i | ||||
\(79\) | 6.75787 | − | 5.03105i | 0.760320 | − | 0.566037i | −0.145672 | − | 0.989333i | \(-0.546534\pi\) |
0.905992 | + | 0.423296i | \(0.139127\pi\) | |||||||
\(80\) | −0.531039 | − | 3.26325i | −0.0593720 | − | 0.364842i | ||||
\(81\) | 4.13917 | − | 7.99170i | 0.459908 | − | 0.887967i | ||||
\(82\) | 2.43646 | + | 5.27038i | 0.269061 | + | 0.582016i | ||||
\(83\) | 6.58472 | − | 4.90214i | 0.722766 | − | 0.538080i | −0.171736 | − | 0.985143i | \(-0.554938\pi\) |
0.894502 | + | 0.447063i | \(0.147530\pi\) | |||||||
\(84\) | 0.784657 | + | 8.49677i | 0.0856131 | + | 0.927073i | ||||
\(85\) | 2.01352 | + | 0.602807i | 0.218396 | + | 0.0653836i | ||||
\(86\) | −3.19030 | + | 5.13424i | −0.344019 | + | 0.553639i | ||||
\(87\) | 0.390194 | − | 0.160200i | 0.0418332 | − | 0.0171753i | ||||
\(88\) | 14.3422 | − | 8.65137i | 1.52888 | − | 0.922239i | ||||
\(89\) | 4.03284 | + | 11.0801i | 0.427480 | + | 1.17449i | 0.947337 | + | 0.320239i | \(0.103763\pi\) |
−0.519856 | + | 0.854254i | \(0.674014\pi\) | |||||||
\(90\) | 2.83267 | − | 2.06715i | 0.298590 | − | 0.217896i | ||||
\(91\) | −11.2378 | − | 4.09023i | −1.17804 | − | 0.428772i | ||||
\(92\) | 3.10235 | − | 12.7149i | 0.323443 | − | 1.32562i | ||||
\(93\) | 6.63550 | + | 11.9766i | 0.688069 | + | 1.24192i | ||||
\(94\) | 0.206703 | + | 0.185177i | 0.0213198 | + | 0.0190996i | ||||
\(95\) | −4.86655 | − | 0.568818i | −0.499297 | − | 0.0583595i | ||||
\(96\) | 5.89086 | − | 7.82929i | 0.601234 | − | 0.799073i | ||||
\(97\) | −8.15992 | − | 5.36686i | −0.828514 | − | 0.544923i | 0.0629482 | − | 0.998017i | \(-0.479950\pi\) |
−0.891463 | + | 0.453094i | \(0.850320\pi\) | |||||||
\(98\) | −0.561239 | + | 1.19327i | −0.0566937 | + | 0.120539i | ||||
\(99\) | 15.0621 | + | 9.42056i | 1.51379 | + | 0.946802i | ||||
\(100\) | −8.51221 | + | 1.44301i | −0.851221 | + | 0.144301i | ||||
\(101\) | −0.770391 | − | 2.57328i | −0.0766567 | − | 0.256051i | 0.911068 | − | 0.412256i | \(-0.135259\pi\) |
−0.987725 | + | 0.156205i | \(0.950074\pi\) | |||||||
\(102\) | 2.84060 | + | 5.54336i | 0.281262 | + | 0.548875i | ||||
\(103\) | 5.28344 | − | 10.5202i | 0.520593 | − | 1.03659i | −0.467681 | − | 0.883897i | \(-0.654911\pi\) |
0.988274 | − | 0.152689i | \(-0.0487932\pi\) | |||||||
\(104\) | 6.39711 | + | 12.1509i | 0.627288 | + | 1.19150i | ||||
\(105\) | −3.50925 | + | 0.347469i | −0.342468 | + | 0.0339095i | ||||
\(106\) | −0.139153 | − | 5.39539i | −0.0135157 | − | 0.524046i | ||||
\(107\) | 13.0257 | + | 7.52039i | 1.25924 | + | 0.727023i | 0.972927 | − | 0.231112i | \(-0.0742365\pi\) |
0.286314 | + | 0.958136i | \(0.407570\pi\) | |||||||
\(108\) | 10.2319 | + | 1.81908i | 0.984561 | + | 0.175041i | ||||
\(109\) | 14.8475 | − | 8.57220i | 1.42213 | − | 0.821068i | 0.425650 | − | 0.904888i | \(-0.360046\pi\) |
0.996481 | + | 0.0838204i | \(0.0267122\pi\) | |||||||
\(110\) | 3.61445 | + | 5.90347i | 0.344624 | + | 0.562874i | ||||
\(111\) | 7.52245 | − | 3.61299i | 0.713999 | − | 0.342930i | ||||
\(112\) | −9.09793 | + | 3.78268i | −0.859673 | + | 0.357429i | ||||
\(113\) | −12.4661 | + | 0.726069i | −1.17271 | + | 0.0683029i | −0.633416 | − | 0.773812i | \(-0.718348\pi\) |
−0.539299 | + | 0.842114i | \(0.681311\pi\) | |||||||
\(114\) | −8.76529 | − | 11.5763i | −0.820944 | − | 1.08422i | ||||
\(115\) | 5.26307 | + | 1.24737i | 0.490784 | + | 0.116318i | ||||
\(116\) | 0.310600 | + | 0.375165i | 0.0288385 | + | 0.0348332i | ||||
\(117\) | −8.42836 | + | 11.8786i | −0.779202 | + | 1.09818i | ||||
\(118\) | −6.15733 | + | 4.28116i | −0.566828 | + | 0.394113i | ||||
\(119\) | 0.364206 | − | 6.25317i | 0.0333867 | − | 0.573227i | ||||
\(120\) | 3.25164 | + | 2.41310i | 0.296832 | + | 0.220285i | ||||
\(121\) | −14.3725 | + | 19.3056i | −1.30659 | + | 1.75505i | ||||
\(122\) | −19.6316 | − | 4.12125i | −1.77736 | − | 0.373121i | ||||
\(123\) | −6.63839 | − | 2.54983i | −0.598563 | − | 0.229910i | ||||
\(124\) | −10.9253 | + | 11.4279i | −0.981121 | + | 1.02626i | ||||
\(125\) | −1.33722 | − | 7.58377i | −0.119605 | − | 0.678313i | ||||
\(126\) | −7.94122 | − | 6.79360i | −0.707460 | − | 0.605222i | ||||
\(127\) | −19.6379 | − | 3.46269i | −1.74258 | − | 0.307264i | −0.790352 | − | 0.612653i | \(-0.790102\pi\) |
−0.952228 | + | 0.305389i | \(0.901213\pi\) | |||||||
\(128\) | 10.6543 | + | 3.80603i | 0.941716 | + | 0.336409i | ||||
\(129\) | −1.57981 | − | 7.23269i | −0.139094 | − | 0.636803i | ||||
\(130\) | −5.00405 | + | 2.67686i | −0.438884 | + | 0.234776i | ||||
\(131\) | −1.93230 | − | 8.15300i | −0.168825 | − | 0.712331i | −0.989931 | − | 0.141554i | \(-0.954790\pi\) |
0.821105 | − | 0.570777i | \(-0.193358\pi\) | |||||||
\(132\) | −5.21380 | + | 19.8402i | −0.453803 | + | 1.72687i | ||||
\(133\) | 1.69518 | + | 14.5032i | 0.146990 | + | 1.25758i | ||||
\(134\) | 9.14752 | + | 6.45030i | 0.790225 | + | 0.557221i | ||||
\(135\) | −0.723823 | + | 4.23341i | −0.0622967 | + | 0.364354i | ||||
\(136\) | −5.13594 | + | 5.03514i | −0.440403 | + | 0.431760i | ||||
\(137\) | −5.00934 | − | 2.16082i | −0.427977 | − | 0.184611i | 0.171186 | − | 0.985239i | \(-0.445240\pi\) |
−0.599162 | + | 0.800628i | \(0.704500\pi\) | |||||||
\(138\) | 8.12719 | + | 13.8163i | 0.691832 | + | 1.17612i | ||||
\(139\) | −11.0803 | − | 11.7444i | −0.939815 | − | 0.996146i | 0.0601826 | − | 0.998187i | \(-0.480832\pi\) |
−0.999998 | + | 0.00204136i | \(0.999350\pi\) | |||||||
\(140\) | −1.58808 | − | 3.74951i | −0.134217 | − | 0.316891i | ||||
\(141\) | −0.339611 | + | 0.0137671i | −0.0286004 | + | 0.00115940i | ||||
\(142\) | −1.73208 | − | 1.95932i | −0.145353 | − | 0.164423i | ||||
\(143\) | −22.0241 | − | 18.4804i | −1.84175 | − | 1.54541i | ||||
\(144\) | 1.50795 | + | 11.9049i | 0.125662 | + | 0.992073i | ||||
\(145\) | −0.154193 | + | 0.129384i | −0.0128051 | + | 0.0107447i | ||||
\(146\) | −2.72502 | − | 0.408356i | −0.225524 | − | 0.0337957i | ||||
\(147\) | −0.525486 | − | 1.52716i | −0.0433413 | − | 0.125958i | ||||
\(148\) | 6.56625 | + | 7.05258i | 0.539742 | + | 0.579719i | ||||
\(149\) | −0.289504 | − | 0.671147i | −0.0237171 | − | 0.0549825i | 0.905946 | − | 0.423393i | \(-0.139161\pi\) |
−0.929663 | + | 0.368411i | \(0.879902\pi\) | |||||||
\(150\) | 6.24526 | − | 8.53268i | 0.509923 | − | 0.696691i | ||||
\(151\) | −4.44221 | − | 8.84517i | −0.361502 | − | 0.719810i | 0.637202 | − | 0.770697i | \(-0.280092\pi\) |
−0.998704 | + | 0.0508866i | \(0.983795\pi\) | |||||||
\(152\) | 9.75261 | − | 13.6385i | 0.791041 | − | 1.10623i | ||||
\(153\) | −7.22637 | − | 2.44467i | −0.584218 | − | 0.197640i | ||||
\(154\) | 14.6350 | − | 14.5386i | 1.17932 | − | 1.17156i | ||||
\(155\) | −4.75257 | − | 4.48382i | −0.381736 | − | 0.360149i | ||||
\(156\) | −15.9899 | − | 5.21306i | −1.28021 | − | 0.417379i | ||||
\(157\) | 7.15405 | + | 10.8772i | 0.570955 | + | 0.868095i | 0.999370 | − | 0.0354869i | \(-0.0112982\pi\) |
−0.428415 | + | 0.903582i | \(0.640928\pi\) | |||||||
\(158\) | −11.7946 | + | 1.68787i | −0.938325 | + | 0.134280i | ||||
\(159\) | 4.72720 | + | 4.62038i | 0.374891 | + | 0.366420i | ||||
\(160\) | −1.54380 | + | 4.41342i | −0.122048 | + | 0.348911i | ||||
\(161\) | − | 16.1194i | − | 1.27038i | ||||||
\(162\) | −10.5400 | + | 7.13508i | −0.828097 | + | 0.560585i | ||||
\(163\) | −3.86232 | −0.302521 | −0.151260 | − | 0.988494i | \(-0.548333\pi\) | ||||
−0.151260 | + | 0.988494i | \(0.548333\pi\) | |||||||
\(164\) | 0.531596 | − | 8.19414i | 0.0415107 | − | 0.639854i | ||||
\(165\) | −8.21345 | − | 2.10050i | −0.639416 | − | 0.163523i | ||||
\(166\) | −11.4924 | + | 1.64462i | −0.891979 | + | 0.127647i | ||||
\(167\) | −9.19416 | + | 6.04709i | −0.711465 | + | 0.467938i | −0.852943 | − | 0.522003i | \(-0.825185\pi\) |
0.141478 | + | 0.989941i | \(0.454815\pi\) | |||||||
\(168\) | 4.76283 | − | 11.0877i | 0.367460 | − | 0.855434i | ||||
\(169\) | 7.25423 | − | 7.68904i | 0.558018 | − | 0.591464i | ||||
\(170\) | −2.09486 | − | 2.10875i | −0.160668 | − | 0.161733i | ||||
\(171\) | 17.5796 | + | 2.68709i | 1.34434 | + | 0.205487i | ||||
\(172\) | 7.43129 | − | 4.22524i | 0.566631 | − | 0.322172i | ||||
\(173\) | −18.0217 | + | 9.05086i | −1.37017 | + | 0.688124i | −0.973254 | − | 0.229732i | \(-0.926215\pi\) |
−0.396914 | + | 0.917856i | \(0.629919\pi\) | |||||||
\(174\) | −0.593025 | − | 0.0644360i | −0.0449571 | − | 0.00488488i | ||||
\(175\) | −9.76375 | + | 4.21167i | −0.738070 | + | 0.318372i | ||||
\(176\) | −23.6634 | + | 1.06472i | −1.78369 | + | 0.0802562i | ||||
\(177\) | 1.75443 | − | 9.01574i | 0.131871 | − | 0.677664i | ||||
\(178\) | 2.47128 | − | 16.4912i | 0.185230 | − | 1.23607i | ||||
\(179\) | −8.09467 | − | 9.64685i | −0.605024 | − | 0.721039i | 0.373395 | − | 0.927673i | \(-0.378194\pi\) |
−0.978418 | + | 0.206633i | \(0.933749\pi\) | |||||||
\(180\) | −4.91572 | + | 0.655684i | −0.366396 | + | 0.0488718i | ||||
\(181\) | −7.79783 | + | 9.29310i | −0.579608 | + | 0.690750i | −0.973573 | − | 0.228375i | \(-0.926659\pi\) |
0.393965 | + | 0.919126i | \(0.371103\pi\) | |||||||
\(182\) | 11.2016 | + | 12.6712i | 0.830321 | + | 0.939253i | ||||
\(183\) | 20.7613 | − | 13.1356i | 1.53472 | − | 0.971010i | ||||
\(184\) | −12.4412 | + | 13.7042i | −0.917178 | + | 1.01028i | ||||
\(185\) | −2.89664 | + | 2.73284i | −0.212965 | + | 0.200922i | ||||
\(186\) | −0.157297 | − | 19.3627i | −0.0115335 | − | 1.41974i | ||||
\(187\) | 5.96441 | − | 13.8270i | 0.436161 | − | 1.01113i | ||||
\(188\) | −0.131794 | − | 0.369681i | −0.00961204 | − | 0.0269618i | ||||
\(189\) | 12.7737 | − | 0.810548i | 0.929149 | − | 0.0589587i | ||||
\(190\) | 5.66290 | + | 3.99315i | 0.410830 | + | 0.289694i | ||||
\(191\) | 11.5119 | − | 1.34555i | 0.832972 | − | 0.0973604i | 0.311092 | − | 0.950380i | \(-0.399305\pi\) |
0.521879 | + | 0.853019i | \(0.325231\pi\) | |||||||
\(192\) | −12.6069 | + | 5.75036i | −0.909823 | + | 0.414996i | ||||
\(193\) | 9.36701 | − | 2.22002i | 0.674252 | − | 0.159801i | 0.120794 | − | 0.992678i | \(-0.461456\pi\) |
0.553458 | + | 0.832877i | \(0.313308\pi\) | |||||||
\(194\) | 6.51505 | + | 12.1790i | 0.467753 | + | 0.874405i | ||||
\(195\) | 2.11071 | − | 6.62224i | 0.151151 | − | 0.474229i | ||||
\(196\) | 1.50319 | − | 1.10372i | 0.107371 | − | 0.0788374i | ||||
\(197\) | −1.68930 | + | 9.58052i | −0.120358 | + | 0.682583i | 0.863599 | + | 0.504179i | \(0.168205\pi\) |
−0.983957 | + | 0.178405i | \(0.942906\pi\) | |||||||
\(198\) | −12.3540 | − | 21.8770i | −0.877960 | − | 1.55473i | ||||
\(199\) | −6.69197 | + | 1.17998i | −0.474381 | + | 0.0836462i | −0.405727 | − | 0.913994i | \(-0.632982\pi\) |
−0.0686543 | + | 0.997641i | \(0.521871\pi\) | |||||||
\(200\) | 11.5515 | + | 3.95521i | 0.816812 | + | 0.279675i | ||||
\(201\) | −13.5403 | + | 2.14167i | −0.955056 | + | 0.151062i | ||||
\(202\) | −0.780462 | + | 3.71772i | −0.0549131 | + | 0.261578i | ||||
\(203\) | 0.481165 | + | 0.358214i | 0.0337712 | + | 0.0251417i | ||||
\(204\) | 0.213759 | − | 8.80625i | 0.0149661 | − | 0.616561i | ||||
\(205\) | 3.38778 | + | 0.197316i | 0.236613 | + | 0.0137811i | ||||
\(206\) | −13.6693 | + | 9.50419i | −0.952383 | + | 0.662188i | ||||
\(207\) | −18.9309 | − | 5.19924i | −1.31579 | − | 0.361372i | ||||
\(208\) | 0.256600 | − | 19.4183i | 0.0177920 | − | 1.34642i | ||||
\(209\) | −8.09556 | + | 34.1579i | −0.559982 | + | 2.36275i | ||||
\(210\) | 4.59513 | + | 1.93803i | 0.317094 | + | 0.133737i | ||||
\(211\) | 0.495906 | + | 8.51437i | 0.0341396 | + | 0.586154i | 0.971389 | + | 0.237494i | \(0.0763260\pi\) |
−0.937249 | + | 0.348660i | \(0.886637\pi\) | |||||||
\(212\) | −3.47057 | + | 6.79811i | −0.238360 | + | 0.466896i | ||||
\(213\) | 3.19369 | + | 0.242674i | 0.218828 | + | 0.0166277i | ||||
\(214\) | −11.1068 | − | 18.1408i | −0.759248 | − | 1.24008i | ||||
\(215\) | 1.76643 | + | 3.05954i | 0.120469 | + | 0.208659i | ||||
\(216\) | −11.4854 | − | 9.16986i | −0.781480 | − | 0.623930i | ||||
\(217\) | −9.73604 | + | 16.8633i | −0.660925 | + | 1.14476i | ||||
\(218\) | −24.2378 | + | 0.625120i | −1.64159 | + | 0.0423385i | ||||
\(219\) | 2.74211 | − | 1.96712i | 0.185294 | − | 0.132926i | ||||
\(220\) | −0.504619 | − | 9.77628i | −0.0340214 | − | 0.659117i | ||||
\(221\) | 11.0326 | + | 5.54076i | 0.742130 | + | 0.372712i | ||||
\(222\) | −11.7870 | − | 0.590481i | −0.791091 | − | 0.0396305i | ||||
\(223\) | 1.36766 | − | 0.409451i | 0.0915855 | − | 0.0274189i | −0.240683 | − | 0.970604i | \(-0.577371\pi\) |
0.332268 | + | 0.943185i | \(0.392186\pi\) | |||||||
\(224\) | 13.8592 | + | 1.44354i | 0.926008 | + | 0.0964509i | ||||
\(225\) | 1.79701 | + | 12.8252i | 0.119800 | + | 0.855013i | ||||
\(226\) | 15.9803 | + | 7.51612i | 1.06300 | + | 0.499965i | ||||
\(227\) | −10.8150 | + | 16.4435i | −0.717819 | + | 1.09139i | 0.273749 | + | 0.961801i | \(0.411736\pi\) |
−0.991568 | + | 0.129590i | \(0.958634\pi\) | |||||||
\(228\) | 3.07406 | + | 20.3035i | 0.203585 | + | 1.34463i | ||||
\(229\) | −1.31988 | + | 11.2923i | −0.0872199 | + | 0.746214i | 0.876886 | + | 0.480698i | \(0.159617\pi\) |
−0.964106 | + | 0.265516i | \(0.914458\pi\) | |||||||
\(230\) | −5.69739 | − | 5.10407i | −0.375674 | − | 0.336552i | ||||
\(231\) | −0.446210 | + | 25.2613i | −0.0293584 | + | 1.66207i | ||||
\(232\) | −0.132595 | − | 0.675914i | −0.00870529 | − | 0.0443759i | ||||
\(233\) | −1.70629 | + | 4.68800i | −0.111783 | + | 0.307121i | −0.982952 | − | 0.183862i | \(-0.941140\pi\) |
0.871169 | + | 0.490983i | \(0.163362\pi\) | |||||||
\(234\) | 18.4944 | − | 9.06837i | 1.20902 | − | 0.592818i | ||||
\(235\) | 0.152416 | − | 0.0554748i | 0.00994250 | − | 0.00361877i | ||||
\(236\) | 10.5419 | − | 1.16163i | 0.686222 | − | 0.0756157i | ||||
\(237\) | 8.91940 | − | 11.5493i | 0.579377 | − | 0.750205i | ||||
\(238\) | −4.67528 | + | 7.52405i | −0.303054 | + | 0.487711i | ||||
\(239\) | 6.94229 | − | 23.1889i | 0.449059 | − | 1.49996i | −0.371517 | − | 0.928426i | \(-0.621162\pi\) |
0.820577 | − | 0.571537i | \(-0.193652\pi\) | |||||||
\(240\) | −2.41083 | − | 5.19425i | −0.155618 | − | 0.335287i | ||||
\(241\) | −15.6956 | − | 21.0829i | −1.01104 | − | 1.35807i | −0.932506 | − | 0.361155i | \(-0.882383\pi\) |
−0.0785368 | − | 0.996911i | \(-0.525025\pi\) | |||||||
\(242\) | 30.8957 | − | 14.2828i | 1.98605 | − | 0.918136i | ||||
\(243\) | 3.16818 | − | 15.2631i | 0.203239 | − | 0.979129i | ||||
\(244\) | 21.6105 | + | 18.3780i | 1.38347 | + | 1.17653i | ||||
\(245\) | 0.460232 | + | 0.618199i | 0.0294031 | + | 0.0394953i | ||||
\(246\) | 6.52677 | + | 7.65121i | 0.416132 | + | 0.487823i | ||||
\(247\) | −27.5709 | − | 8.25419i | −1.75430 | − | 0.525202i | ||||
\(248\) | 21.2927 | − | 6.82220i | 1.35209 | − | 0.433210i | ||||
\(249\) | 8.69085 | − | 11.2533i | 0.550761 | − | 0.713151i | ||||
\(250\) | −3.45969 | + | 10.3264i | −0.218810 | + | 0.653097i | ||||
\(251\) | 7.43211 | + | 20.4196i | 0.469111 | + | 1.28887i | 0.918460 | + | 0.395515i | \(0.129434\pi\) |
−0.449349 | + | 0.893356i | \(0.648344\pi\) | |||||||
\(252\) | 5.27983 | + | 13.8042i | 0.332598 | + | 0.869582i | ||||
\(253\) | 13.2540 | − | 36.4152i | 0.833275 | − | 2.28940i | ||||
\(254\) | 22.0631 | + | 17.5640i | 1.38436 | + | 1.10206i | ||||
\(255\) | 3.63988 | + | 0.0642940i | 0.227938 | + | 0.00402624i | ||||
\(256\) | −10.6685 | − | 11.9240i | −0.666782 | − | 0.745253i | ||||
\(257\) | 1.23320 | − | 10.5507i | 0.0769251 | − | 0.658137i | −0.898680 | − | 0.438605i | \(-0.855473\pi\) |
0.975605 | − | 0.219532i | \(-0.0704530\pi\) | |||||||
\(258\) | −2.92118 | + | 10.0540i | −0.181864 | + | 0.625932i | ||||
\(259\) | 9.91559 | + | 6.52159i | 0.616125 | + | 0.405232i | ||||
\(260\) | 8.02555 | + | 0.0530240i | 0.497723 | + | 0.00328841i | ||||
\(261\) | 0.575892 | − | 0.449549i | 0.0356468 | − | 0.0278264i | ||||
\(262\) | −3.10466 | + | 11.4355i | −0.191807 | + | 0.706489i | ||||
\(263\) | −0.0459368 | − | 0.153440i | −0.00283258 | − | 0.00946149i | 0.956562 | − | 0.291530i | \(-0.0941645\pi\) |
−0.959394 | + | 0.282069i | \(0.908979\pi\) | |||||||
\(264\) | 19.8765 | − | 21.1320i | 1.22331 | − | 1.30058i | ||||
\(265\) | −2.81888 | − | 1.41569i | −0.173162 | − | 0.0869654i | ||||
\(266\) | 7.68753 | − | 19.1659i | 0.471353 | − | 1.17514i | ||||
\(267\) | 11.9046 | + | 16.5946i | 0.728548 | + | 1.01557i | ||||
\(268\) | −7.01057 | − | 14.1922i | −0.428239 | − | 0.866927i | ||||
\(269\) | −7.08307 | + | 12.2682i | −0.431862 | + | 0.748008i | −0.997034 | − | 0.0769659i | \(-0.975477\pi\) |
0.565171 | + | 0.824974i | \(0.308810\pi\) | |||||||
\(270\) | 3.75820 | − | 4.77151i | 0.228717 | − | 0.290385i | ||||
\(271\) | 5.62437 | − | 3.24723i | 0.341656 | − | 0.197255i | −0.319348 | − | 0.947638i | \(-0.603464\pi\) |
0.661004 | + | 0.750382i | \(0.270131\pi\) | |||||||
\(272\) | 9.78196 | − | 2.78823i | 0.593119 | − | 0.169062i | ||||
\(273\) | −20.6541 | − | 1.56941i | −1.25004 | − | 0.0949849i | ||||
\(274\) | 4.76526 | + | 6.06774i | 0.287880 | + | 0.366566i | ||||
\(275\) | −25.5203 | + | 1.48639i | −1.53893 | + | 0.0896324i | ||||
\(276\) | −0.768532 | − | 22.6559i | −0.0462602 | − | 1.36373i | ||||
\(277\) | 6.09443 | − | 25.7144i | 0.366179 | − | 1.54503i | −0.408549 | − | 0.912736i | \(-0.633965\pi\) |
0.774728 | − | 0.632294i | \(-0.217887\pi\) | |||||||
\(278\) | 5.83706 | + | 22.0756i | 0.350084 | + | 1.32401i | ||||
\(279\) | 16.6643 | + | 16.8734i | 0.997665 | + | 1.01018i | ||||
\(280\) | −0.558722 | + | 5.73144i | −0.0333900 | + | 0.342519i | ||||
\(281\) | 7.67678 | + | 0.447122i | 0.457959 | + | 0.0266730i | 0.285574 | − | 0.958357i | \(-0.407816\pi\) |
0.172385 | + | 0.985030i | \(0.444853\pi\) | |||||||
\(282\) | 0.431287 | + | 0.212231i | 0.0256828 | + | 0.0126382i | ||||
\(283\) | 13.7098 | − | 18.4154i | 0.814961 | − | 1.09468i | −0.178880 | − | 0.983871i | \(-0.557247\pi\) |
0.993841 | − | 0.110812i | \(-0.0353453\pi\) | |||||||
\(284\) | 0.829113 | + | 3.60426i | 0.0491988 | + | 0.213873i | ||||
\(285\) | −8.38229 | + | 1.32583i | −0.496524 | + | 0.0785354i | ||||
\(286\) | 14.8867 | + | 37.8360i | 0.880272 | + | 2.23729i | ||||
\(287\) | −1.75615 | − | 9.95964i | −0.103662 | − | 0.587899i | ||||
\(288\) | 6.16557 | − | 15.8109i | 0.363310 | − | 0.931668i | ||||
\(289\) | 1.82915 | − | 10.3737i | 0.107597 | − | 0.610215i | ||||
\(290\) | 0.278968 | − | 0.0566421i | 0.0163816 | − | 0.00332614i | ||||
\(291\) | −16.1175 | − | 5.13711i | −0.944823 | − | 0.301143i | ||||
\(292\) | 3.11026 | + | 2.34760i | 0.182014 | + | 0.137383i | ||||
\(293\) | 26.1442 | − | 6.19629i | 1.52736 | − | 0.361991i | 0.620767 | − | 0.783995i | \(-0.286821\pi\) |
0.906594 | + | 0.422003i | \(0.138673\pi\) | |||||||
\(294\) | −0.378328 | + | 2.25245i | −0.0220645 | + | 0.131366i | ||||
\(295\) | 0.508842 | + | 4.35342i | 0.0296259 | + | 0.253466i | ||||
\(296\) | −3.39644 | − | 13.1975i | −0.197414 | − | 0.767088i | ||||
\(297\) | 29.5235 | + | 8.67198i | 1.71312 | + | 0.503199i | ||||
\(298\) | −0.0934926 | + | 1.02945i | −0.00541588 | + | 0.0596342i | ||||
\(299\) | 29.1725 | + | 12.5838i | 1.68709 | + | 0.727740i | ||||
\(300\) | −13.5222 | + | 6.38505i | −0.780707 | + | 0.368641i | ||||
\(301\) | 7.65816 | − | 7.22510i | 0.441409 | − | 0.416448i | ||||
\(302\) | −0.453343 | + | 13.9905i | −0.0260870 | + | 0.805065i | ||||
\(303\) | −2.48755 | − | 3.93166i | −0.142906 | − | 0.225868i | ||||
\(304\) | −21.3283 | + | 10.3609i | −1.22326 | + | 0.594236i | ||||
\(305\) | −7.53595 | + | 8.98099i | −0.431507 | + | 0.514250i | ||||
\(306\) | 7.32839 | + | 7.91760i | 0.418936 | + | 0.452619i | ||||
\(307\) | −15.5451 | + | 13.0439i | −0.887206 | + | 0.744454i | −0.967648 | − | 0.252305i | \(-0.918811\pi\) |
0.0804418 | + | 0.996759i | \(0.474367\pi\) | |||||||
\(308\) | −28.0029 | + | 8.18231i | −1.59561 | + | 0.466230i | ||||
\(309\) | 3.89485 | − | 20.0149i | 0.221570 | − | 1.13861i | ||||
\(310\) | 2.87750 | + | 8.78084i | 0.163431 | + | 0.498718i | ||||
\(311\) | 3.33144 | + | 7.72315i | 0.188909 | + | 0.437940i | 0.986179 | − | 0.165683i | \(-0.0529827\pi\) |
−0.797270 | + | 0.603622i | \(0.793723\pi\) | |||||||
\(312\) | 16.3481 | + | 17.2755i | 0.925531 | + | 0.978030i | ||||
\(313\) | 23.6132 | − | 11.8590i | 1.33470 | − | 0.670311i | 0.368867 | − | 0.929482i | \(-0.379746\pi\) |
0.965831 | + | 0.259171i | \(0.0834494\pi\) | |||||||
\(314\) | −1.54408 | − | 18.3468i | −0.0871375 | − | 1.03537i | ||||
\(315\) | −5.69034 | + | 2.21965i | −0.320614 | + | 0.125063i | ||||
\(316\) | 15.7954 | + | 5.86751i | 0.888559 | + | 0.330073i | ||||
\(317\) | −9.88056 | + | 10.4728i | −0.554947 | + | 0.588210i | −0.942737 | − | 0.333538i | \(-0.891757\pi\) |
0.387789 | + | 0.921748i | \(0.373239\pi\) | |||||||
\(318\) | −2.75375 | − | 8.93339i | −0.154423 | − | 0.500960i | ||||
\(319\) | 0.792460 | + | 1.20488i | 0.0443692 | + | 0.0674601i | ||||
\(320\) | 4.89863 | − | 4.44145i | 0.273842 | − | 0.248285i | ||||
\(321\) | 25.2391 | + | 6.45462i | 1.40871 | + | 0.360262i | ||||
\(322\) | −10.8853 | + | 20.0294i | −0.606615 | + | 1.11620i | ||||
\(323\) | − | 15.0741i | − | 0.838743i | ||||||
\(324\) | 17.9149 | − | 1.74825i | 0.995272 | − | 0.0971251i | ||||
\(325\) | − | 20.9582i | − | 1.16255i | ||||||
\(326\) | 4.79920 | + | 2.60821i | 0.265803 | + | 0.144455i | ||||
\(327\) | 20.7562 | − | 21.2361i | 1.14782 | − | 1.17436i | ||||
\(328\) | −6.19400 | + | 9.82279i | −0.342006 | + | 0.542373i | ||||
\(329\) | −0.265619 | − | 0.403855i | −0.0146441 | − | 0.0222652i | ||||
\(330\) | 8.78732 | + | 8.15651i | 0.483726 | + | 0.449001i | ||||
\(331\) | −7.04326 | + | 7.46542i | −0.387132 | + | 0.410336i | −0.891405 | − | 0.453208i | \(-0.850279\pi\) |
0.504272 | + | 0.863545i | \(0.331761\pi\) | |||||||
\(332\) | 15.3906 | + | 5.71717i | 0.844671 | + | 0.313770i | ||||
\(333\) | 10.8573 | − | 9.54156i | 0.594978 | − | 0.522874i | ||||
\(334\) | 15.5079 | − | 1.30516i | 0.848557 | − | 0.0714153i | ||||
\(335\) | 5.84597 | − | 2.93596i | 0.319399 | − | 0.160408i | ||||
\(336\) | −13.4056 | + | 10.5609i | −0.731336 | + | 0.576145i | ||||
\(337\) | 2.86636 | + | 6.64497i | 0.156141 | + | 0.361974i | 0.978273 | − | 0.207322i | \(-0.0664749\pi\) |
−0.822132 | + | 0.569297i | \(0.807216\pi\) | |||||||
\(338\) | −14.2062 | + | 4.65541i | −0.772718 | + | 0.253221i | ||||
\(339\) | −20.4517 | + | 7.03730i | −1.11078 | + | 0.382214i | ||||
\(340\) | 1.17898 | + | 4.03491i | 0.0639393 | + | 0.218824i | ||||
\(341\) | −35.8604 | + | 30.0905i | −1.94195 | + | 1.62949i | ||||
\(342\) | −20.0292 | − | 15.2103i | −1.08306 | − | 0.822478i | ||||
\(343\) | 12.5598 | − | 14.9681i | 0.678163 | − | 0.808204i | ||||
\(344\) | −12.0872 | + | 0.231844i | −0.651697 | + | 0.0125002i | ||||
\(345\) | 9.36075 | − | 0.379465i | 0.503966 | − | 0.0204297i | ||||
\(346\) | 28.5053 | + | 0.923671i | 1.53245 | + | 0.0496569i | ||||
\(347\) | −4.28347 | + | 4.04125i | −0.229949 | + | 0.216945i | −0.792589 | − | 0.609757i | \(-0.791267\pi\) |
0.562640 | + | 0.826702i | \(0.309786\pi\) | |||||||
\(348\) | 0.693362 | + | 0.480533i | 0.0371681 | + | 0.0257593i | ||||
\(349\) | −19.5624 | − | 8.43840i | −1.04715 | − | 0.451697i | −0.198197 | − | 0.980162i | \(-0.563509\pi\) |
−0.848955 | + | 0.528465i | \(0.822768\pi\) | |||||||
\(350\) | 14.9762 | + | 1.36012i | 0.800514 | + | 0.0727013i | ||||
\(351\) | −8.50505 | + | 23.7504i | −0.453966 | + | 1.26770i | ||||
\(352\) | 30.1224 | + | 14.6568i | 1.60553 | + | 0.781208i | ||||
\(353\) | 1.11744 | + | 9.56033i | 0.0594755 | + | 0.508845i | 0.989838 | + | 0.142203i | \(0.0454186\pi\) |
−0.930362 | + | 0.366642i | \(0.880507\pi\) | |||||||
\(354\) | −8.26828 | + | 10.0179i | −0.439454 | + | 0.532446i | ||||
\(355\) | −1.48724 | + | 0.352483i | −0.0789346 | + | 0.0187078i | ||||
\(356\) | −14.2072 | + | 18.8226i | −0.752978 | + | 0.997596i | ||||
\(357\) | −2.31516 | − | 10.5993i | −0.122531 | − | 0.560972i | ||||
\(358\) | 3.54372 | + | 17.4532i | 0.187291 | + | 0.922428i | ||||
\(359\) | 6.23723 | − | 35.3731i | 0.329188 | − | 1.86692i | −0.149251 | − | 0.988799i | \(-0.547686\pi\) |
0.478439 | − | 0.878121i | \(-0.341203\pi\) | |||||||
\(360\) | 6.55090 | + | 2.50483i | 0.345263 | + | 0.132016i | ||||
\(361\) | 2.80271 | + | 15.8950i | 0.147511 | + | 0.836577i | ||||
\(362\) | 15.9649 | − | 6.28148i | 0.839098 | − | 0.330147i | ||||
\(363\) | −14.9475 | + | 38.9152i | −0.784538 | + | 2.04252i | ||||
\(364\) | −5.36200 | − | 23.3093i | −0.281045 | − | 1.22174i | ||||
\(365\) | −0.961683 | + | 1.29176i | −0.0503368 | + | 0.0676140i | ||||
\(366\) | −34.6677 | + | 2.30188i | −1.81211 | + | 0.120321i | ||||
\(367\) | 24.3986 | + | 1.42106i | 1.27360 | + | 0.0741787i | 0.681579 | − | 0.731745i | \(-0.261294\pi\) |
0.592020 | + | 0.805924i | \(0.298331\pi\) | |||||||
\(368\) | 24.7134 | − | 8.62688i | 1.28827 | − | 0.449707i | ||||
\(369\) | −12.2632 | − | 1.14998i | −0.638399 | − | 0.0598658i | ||||
\(370\) | 5.44475 | − | 1.43966i | 0.283059 | − | 0.0748441i | ||||
\(371\) | −2.16794 | + | 9.14727i | −0.112554 | + | 0.474903i | ||||
\(372\) | −12.8801 | + | 24.1657i | −0.667802 | + | 1.25294i | ||||
\(373\) | 29.4346 | − | 1.71437i | 1.52407 | − | 0.0887668i | 0.724471 | − | 0.689306i | \(-0.242084\pi\) |
0.799596 | + | 0.600539i | \(0.205047\pi\) | |||||||
\(374\) | −16.7485 | + | 13.1533i | −0.866045 | + | 0.680142i | ||||
\(375\) | −5.77469 | − | 12.0232i | −0.298204 | − | 0.620877i | ||||
\(376\) | −0.0858812 | + | 0.548354i | −0.00442898 | + | 0.0282792i | ||||
\(377\) | −1.02392 | + | 0.591160i | −0.0527345 | + | 0.0304463i | ||||
\(378\) | −16.4195 | − | 7.61884i | −0.844530 | − | 0.391871i | ||||
\(379\) | 6.82076 | − | 11.8139i | 0.350359 | − | 0.606840i | −0.635953 | − | 0.771728i | \(-0.719393\pi\) |
0.986312 | + | 0.164888i | \(0.0527262\pi\) | |||||||
\(380\) | −4.33999 | − | 8.78589i | −0.222637 | − | 0.450707i | ||||
\(381\) | −34.3704 | + | 3.40319i | −1.76085 | + | 0.174351i | ||||
\(382\) | −15.2130 | − | 6.10199i | −0.778363 | − | 0.312205i | ||||
\(383\) | −16.4792 | − | 8.27617i | −0.842049 | − | 0.422893i | −0.0251567 | − | 0.999684i | \(-0.508008\pi\) |
−0.816892 | + | 0.576791i | \(0.804305\pi\) | |||||||
\(384\) | 19.5481 | + | 1.36814i | 0.997560 | + | 0.0698177i | ||||
\(385\) | −3.45790 | − | 11.5502i | −0.176231 | − | 0.588653i | ||||
\(386\) | −13.1383 | − | 3.56696i | −0.668723 | − | 0.181554i | ||||
\(387\) | −6.01519 | − | 11.3243i | −0.305769 | − | 0.575648i | ||||
\(388\) | 0.129052 | − | 19.5329i | 0.00655161 | − | 0.991632i | ||||
\(389\) | 2.98778 | + | 1.96510i | 0.151487 | + | 0.0996343i | 0.622989 | − | 0.782230i | \(-0.285918\pi\) |
−0.471503 | + | 0.881865i | \(0.656288\pi\) | |||||||
\(390\) | −7.09466 | + | 6.80325i | −0.359252 | + | 0.344496i | ||||
\(391\) | −1.93186 | + | 16.5281i | −0.0976982 | + | 0.835862i | ||||
\(392\) | −2.61316 | + | 0.356356i | −0.131984 | + | 0.0179987i | ||||
\(393\) | −7.03320 | − | 12.6945i | −0.354778 | − | 0.640351i | ||||
\(394\) | 8.56875 | − | 10.7637i | 0.431687 | − | 0.542266i | ||||
\(395\) | −2.38170 | + | 6.54365i | −0.119836 | + | 0.329247i | ||||
\(396\) | 0.577246 | + | 35.5263i | 0.0290077 | + | 1.78526i | ||||
\(397\) | −0.185465 | − | 0.509560i | −0.00930820 | − | 0.0255741i | 0.934952 | − | 0.354776i | \(-0.115443\pi\) |
−0.944260 | + | 0.329201i | \(0.893220\pi\) | |||||||
\(398\) | 9.11207 | + | 3.05285i | 0.456747 | + | 0.153026i | ||||
\(399\) | 9.60563 | + | 23.3961i | 0.480883 | + | 1.17127i | ||||
\(400\) | −11.6826 | − | 12.7153i | −0.584128 | − | 0.635763i | ||||
\(401\) | −17.3400 | − | 5.19125i | −0.865918 | − | 0.259239i | −0.177117 | − | 0.984190i | \(-0.556677\pi\) |
−0.688801 | + | 0.724951i | \(0.741862\pi\) | |||||||
\(402\) | 18.2710 | + | 6.48249i | 0.911272 | + | 0.323317i | ||||
\(403\) | −22.9184 | − | 30.7847i | −1.14164 | − | 1.53350i | ||||
\(404\) | 3.48034 | − | 4.09249i | 0.173153 | − | 0.203609i | ||||
\(405\) | 0.771402 | + | 7.39879i | 0.0383313 | + | 0.367649i | ||||
\(406\) | −0.355981 | − | 0.770034i | −0.0176670 | − | 0.0382162i | ||||
\(407\) | 17.0379 | + | 22.8859i | 0.844540 | + | 1.13441i | ||||
\(408\) | −6.21243 | + | 10.7980i | −0.307561 | + | 0.534582i | ||||
\(409\) | −2.26722 | + | 7.57303i | −0.112107 | + | 0.374462i | −0.995568 | − | 0.0940412i | \(-0.970021\pi\) |
0.883462 | + | 0.468503i | \(0.155207\pi\) | |||||||
\(410\) | −4.07631 | − | 2.53293i | −0.201314 | − | 0.125092i | ||||
\(411\) | −9.36449 | − | 1.26257i | −0.461916 | − | 0.0622780i | ||||
\(412\) | 23.4031 | − | 2.57882i | 1.15299 | − | 0.127049i | ||||
\(413\) | 12.2745 | − | 4.46756i | 0.603990 | − | 0.219834i | ||||
\(414\) | 20.0119 | + | 19.2443i | 0.983532 | + | 0.945808i | ||||
\(415\) | −2.32067 | + | 6.37599i | −0.113917 | + | 0.312985i | ||||
\(416\) | −13.4319 | + | 23.9553i | −0.658553 | + | 1.17450i | ||||
\(417\) | −23.9687 | − | 14.4087i | −1.17375 | − | 0.705595i | ||||
\(418\) | 33.1259 | − | 36.9766i | 1.62024 | − | 1.80858i | ||||
\(419\) | 1.25845 | − | 10.7667i | 0.0614791 | − | 0.525987i | −0.927048 | − | 0.374943i | \(-0.877662\pi\) |
0.988527 | − | 0.151044i | \(-0.0482636\pi\) | |||||||
\(420\) | −4.40103 | − | 5.51120i | −0.214748 | − | 0.268919i | ||||
\(421\) | −5.54093 | + | 8.42458i | −0.270049 | + | 0.410589i | −0.944897 | − | 0.327367i | \(-0.893839\pi\) |
0.674849 | + | 0.737956i | \(0.264209\pi\) | |||||||
\(422\) | 5.13351 | − | 10.9146i | 0.249896 | − | 0.531313i | ||||
\(423\) | −0.559970 | + | 0.181687i | −0.0272267 | + | 0.00883392i | ||||
\(424\) | 8.90314 | − | 6.10346i | 0.432375 | − | 0.296410i | ||||
\(425\) | 10.5161 | − | 3.14831i | 0.510105 | − | 0.152715i | ||||
\(426\) | −3.80451 | − | 2.45822i | −0.184329 | − | 0.119101i | ||||
\(427\) | 31.2227 | + | 15.6806i | 1.51097 | + | 0.758839i | ||||
\(428\) | 1.55064 | + | 30.0416i | 0.0749532 | + | 1.45211i | ||||
\(429\) | −45.3692 | − | 20.5281i | −2.19044 | − | 0.991108i | ||||
\(430\) | −0.128815 | − | 4.99455i | −0.00621201 | − | 0.240858i | ||||
\(431\) | 18.2740 | − | 31.6516i | 0.880229 | − | 1.52460i | 0.0291432 | − | 0.999575i | \(-0.490722\pi\) |
0.851086 | − | 0.525026i | \(-0.175945\pi\) | |||||||
\(432\) | 8.07901 | + | 19.1502i | 0.388701 | + | 0.921364i | ||||
\(433\) | 2.77353 | + | 4.80389i | 0.133287 | + | 0.230860i | 0.924942 | − | 0.380109i | \(-0.124113\pi\) |
−0.791655 | + | 0.610969i | \(0.790780\pi\) | |||||||
\(434\) | 23.4854 | − | 14.3791i | 1.12734 | − | 0.690220i | ||||
\(435\) | −0.196693 | + | 0.287852i | −0.00943072 | + | 0.0138015i | ||||
\(436\) | 30.5392 | + | 15.5909i | 1.46256 | + | 0.746668i | ||||
\(437\) | −2.25556 | − | 38.7264i | −0.107898 | − | 1.85254i | ||||
\(438\) | −4.73564 | + | 0.592550i | −0.226278 | + | 0.0283131i | ||||
\(439\) | −7.77464 | + | 32.8038i | −0.371063 | + | 1.56564i | 0.392404 | + | 0.919793i | \(0.371644\pi\) |
−0.763467 | + | 0.645846i | \(0.776505\pi\) | |||||||
\(440\) | −5.97485 | + | 12.4885i | −0.284840 | + | 0.595365i | ||||
\(441\) | −1.59016 | − | 2.30139i | −0.0757219 | − | 0.109590i | ||||
\(442\) | −9.96707 | − | 14.3350i | −0.474085 | − | 0.681846i | ||||
\(443\) | 29.2695 | + | 1.70476i | 1.39064 | + | 0.0809954i | 0.737041 | − | 0.675848i | \(-0.236223\pi\) |
0.653596 | + | 0.756844i | \(0.273260\pi\) | |||||||
\(444\) | 14.2474 | + | 8.69340i | 0.676152 | + | 0.412571i | ||||
\(445\) | −7.81747 | − | 5.81989i | −0.370584 | − | 0.275889i | ||||
\(446\) | −1.97592 | − | 0.414804i | −0.0935623 | − | 0.0196415i | ||||
\(447\) | −0.796513 | − | 0.984032i | −0.0376738 | − | 0.0465431i | ||||
\(448\) | −16.2462 | − | 11.1528i | −0.767562 | − | 0.526919i | ||||
\(449\) | 5.20346 | − | 0.917510i | 0.245566 | − | 0.0433000i | −0.0495101 | − | 0.998774i | \(-0.515766\pi\) |
0.295076 | + | 0.955474i | \(0.404655\pi\) | |||||||
\(450\) | 6.42788 | − | 17.1497i | 0.303013 | − | 0.808444i | ||||
\(451\) | 4.22193 | − | 23.9438i | 0.198803 | − | 1.12747i | ||||
\(452\) | −14.7811 | − | 20.1307i | −0.695243 | − | 0.946870i | ||||
\(453\) | −11.5427 | − | 12.6758i | −0.542325 | − | 0.595561i | ||||
\(454\) | 24.5426 | − | 13.1288i | 1.15184 | − | 0.616165i | ||||
\(455\) | 9.61821 | − | 2.27956i | 0.450909 | − | 0.106867i | ||||
\(456\) | 9.89111 | − | 27.3044i | 0.463194 | − | 1.27865i | ||||
\(457\) | 37.6024 | − | 4.39509i | 1.75897 | − | 0.205594i | 0.825536 | − | 0.564349i | \(-0.190873\pi\) |
0.933432 | + | 0.358755i | \(0.116799\pi\) | |||||||
\(458\) | 9.26565 | − | 13.1401i | 0.432955 | − | 0.613997i | ||||
\(459\) | −13.1947 | − | 0.699788i | −0.615877 | − | 0.0326633i | ||||
\(460\) | 3.63264 | + | 10.1896i | 0.169373 | + | 0.475091i | ||||
\(461\) | 0.691065 | − | 1.60207i | 0.0321861 | − | 0.0746158i | −0.901365 | − | 0.433061i | \(-0.857434\pi\) |
0.933551 | + | 0.358445i | \(0.116693\pi\) | |||||||
\(462\) | 17.6133 | − | 31.0876i | 0.819444 | − | 1.44633i | ||||
\(463\) | 2.84573 | − | 2.68481i | 0.132252 | − | 0.124774i | −0.617274 | − | 0.786748i | \(-0.711763\pi\) |
0.749526 | + | 0.661975i | \(0.230281\pi\) | |||||||
\(464\) | −0.291683 | + | 0.929411i | −0.0135410 | + | 0.0431468i | ||||
\(465\) | −10.0220 | − | 5.25688i | −0.464758 | − | 0.243782i | ||||
\(466\) | 5.28596 | − | 4.67291i | 0.244868 | − | 0.216468i | ||||
\(467\) | −10.9791 | + | 13.0844i | −0.508051 | + | 0.605472i | −0.957712 | − | 0.287727i | \(-0.907100\pi\) |
0.449661 | + | 0.893199i | \(0.351545\pi\) | |||||||
\(468\) | −29.1044 | − | 1.22108i | −1.34535 | − | 0.0564445i | ||||
\(469\) | −12.5316 | − | 14.9346i | −0.578655 | − | 0.689615i | ||||
\(470\) | −0.226849 | − | 0.0339943i | −0.0104638 | − | 0.00156804i | ||||
\(471\) | 17.0153 | + | 14.7974i | 0.784022 | + | 0.681827i | ||||
\(472\) | −13.8835 | − | 5.67552i | −0.639042 | − | 0.261237i | ||||
\(473\) | 23.2413 | − | 10.0253i | 1.06864 | − | 0.460965i | ||||
\(474\) | −18.8821 | + | 8.32752i | −0.867284 | + | 0.382496i | ||||
\(475\) | −22.8679 | + | 11.4847i | −1.04925 | + | 0.526953i | ||||
\(476\) | 10.8903 | − | 6.19195i | 0.499156 | − | 0.283808i | ||||
\(477\) | 10.0435 | + | 5.49650i | 0.459859 | + | 0.251667i | ||||
\(478\) | −24.2856 | + | 24.1257i | −1.11080 | + | 1.10348i | ||||
\(479\) | −19.9409 | + | 21.1361i | −0.911122 | + | 0.965733i | −0.999539 | − | 0.0303505i | \(-0.990338\pi\) |
0.0884172 | + | 0.996084i | \(0.471819\pi\) | |||||||
\(480\) | −0.512028 | + | 8.08224i | −0.0233708 | + | 0.368902i | ||||
\(481\) | −19.5434 | + | 12.8539i | −0.891103 | + | 0.586087i | ||||
\(482\) | 5.26573 | + | 36.7961i | 0.239847 | + | 1.67601i | ||||
\(483\) | −7.53379 | − | 26.8839i | −0.342800 | − | 1.22326i | ||||
\(484\) | −48.0352 | − | 3.11629i | −2.18342 | − | 0.141650i | ||||
\(485\) | 8.07256 | 0.366556 | ||||||||
\(486\) | −14.2438 | + | 16.8260i | −0.646111 | + | 0.763243i | ||||
\(487\) | 21.4885i | 0.973738i | 0.873475 | + | 0.486869i | \(0.161861\pi\) | ||||
−0.873475 | + | 0.486869i | \(0.838139\pi\) | |||||||
\(488\) | −14.4420 | − | 37.4294i | −0.653756 | − | 1.69435i | ||||
\(489\) | −6.44159 | + | 1.80516i | −0.291299 | + | 0.0816320i | ||||
\(490\) | −0.154404 | − | 1.07895i | −0.00697524 | − | 0.0487418i | ||||
\(491\) | −3.14856 | − | 4.78716i | −0.142093 | − | 0.216042i | 0.757429 | − | 0.652918i | \(-0.226455\pi\) |
−0.899522 | + | 0.436876i | \(0.856085\pi\) | |||||||
\(492\) | −2.94314 | − | 13.9146i | −0.132687 | − | 0.627320i | ||||
\(493\) | −0.450435 | − | 0.424964i | −0.0202866 | − | 0.0191394i | ||||
\(494\) | 28.6848 | + | 28.8749i | 1.29059 | + | 1.29914i | ||||
\(495\) | −14.6801 | + | 0.335555i | −0.659822 | + | 0.0150821i | ||||
\(496\) | −31.0646 | − | 5.90178i | −1.39484 | − | 0.264998i | ||||
\(497\) | 2.04429 | + | 4.07051i | 0.0916988 | + | 0.182587i | ||||
\(498\) | −18.3983 | + | 8.11415i | −0.824447 | + | 0.363604i | ||||
\(499\) | −0.194965 | − | 0.451979i | −0.00872783 | − | 0.0202334i | 0.913796 | − | 0.406172i | \(-0.133137\pi\) |
−0.922524 | + | 0.385939i | \(0.873878\pi\) | |||||||
\(500\) | 11.2722 | − | 10.4949i | 0.504110 | − | 0.469347i | ||||
\(501\) | −12.5078 | + | 14.3825i | −0.558806 | + | 0.642562i | ||||
\(502\) | 4.55431 | − | 30.3916i | 0.203269 | − | 1.35644i | ||||
\(503\) | −20.4755 | + | 17.1810i | −0.912956 | + | 0.766061i | −0.972679 | − | 0.232154i | \(-0.925423\pi\) |
0.0597229 | + | 0.998215i | \(0.480978\pi\) | |||||||
\(504\) | 2.76134 | − | 20.7181i | 0.123000 | − | 0.922857i | ||||
\(505\) | 1.70077 | + | 1.42712i | 0.0756834 | + | 0.0635060i | ||||
\(506\) | −41.0600 | + | 36.2980i | −1.82534 | + | 1.61364i | ||||
\(507\) | 8.50495 | − | 16.2142i | 0.377718 | − | 0.720099i | ||||
\(508\) | −15.5540 | − | 36.7235i | −0.690098 | − | 1.62934i | ||||
\(509\) | −6.94988 | − | 7.36644i | −0.308048 | − | 0.326512i | 0.554792 | − | 0.831989i | \(-0.312798\pi\) |
−0.862840 | + | 0.505477i | \(0.831316\pi\) | |||||||
\(510\) | −4.47938 | − | 2.53788i | −0.198350 | − | 0.112379i | ||||
\(511\) | 4.40685 | + | 1.90093i | 0.194948 | + | 0.0840922i | ||||
\(512\) | 5.20411 | + | 22.0208i | 0.229991 | + | 0.973193i | ||||
\(513\) | 30.5751 | − | 3.73473i | 1.34992 | − | 0.164892i | ||||
\(514\) | −8.65719 | + | 12.2772i | −0.381852 | + | 0.541526i | ||||
\(515\) | 1.12963 | + | 9.66460i | 0.0497774 | + | 0.425873i | ||||
\(516\) | 10.4191 | − | 10.5201i | 0.458677 | − | 0.463120i | ||||
\(517\) | −0.267993 | − | 1.13075i | −0.0117863 | − | 0.0497304i | ||||
\(518\) | −7.91681 | − | 14.7995i | −0.347845 | − | 0.650251i | ||||
\(519\) | −25.8265 | + | 23.5180i | −1.13366 | + | 1.03232i | ||||
\(520\) | −9.93649 | − | 5.48550i | −0.435744 | − | 0.240555i | ||||
\(521\) | −22.7468 | − | 4.01088i | −0.996557 | − | 0.175720i | −0.348497 | − | 0.937310i | \(-0.613308\pi\) |
−0.648059 | + | 0.761590i | \(0.724419\pi\) | |||||||
\(522\) | −1.01916 | + | 0.169699i | −0.0446076 | + | 0.00742753i | ||||
\(523\) | 1.92838 | + | 10.9364i | 0.0843223 | + | 0.478215i | 0.997501 | + | 0.0706555i | \(0.0225091\pi\) |
−0.913179 | + | 0.407560i | \(0.866380\pi\) | |||||||
\(524\) | 11.5801 | − | 12.1129i | 0.505879 | − | 0.529153i | ||||
\(525\) | −14.3156 | + | 11.5876i | −0.624782 | + | 0.505723i | ||||
\(526\) | −0.0465373 | + | 0.221680i | −0.00202912 | + | 0.00966571i | ||||
\(527\) | 12.0039 | − | 16.1241i | 0.522899 | − | 0.702376i | ||||
\(528\) | −38.9682 | + | 12.8354i | −1.69587 | + | 0.558590i | ||||
\(529\) | −1.15263 | + | 19.7899i | −0.0501144 | + | 0.860430i | ||||
\(530\) | 2.54664 | + | 3.66267i | 0.110619 | + | 0.159096i | ||||
\(531\) | −1.28769 | − | 15.8564i | −0.0558810 | − | 0.688111i | ||||
\(532\) | −22.4949 | + | 18.6236i | −0.975278 | + | 0.807436i | ||||
\(533\) | 19.3958 | + | 4.59688i | 0.840123 | + | 0.199113i | ||||
\(534\) | −3.58598 | − | 28.6591i | −0.155181 | − | 1.24020i | ||||
\(535\) | −12.4108 | + | 0.722848i | −0.536567 | + | 0.0312514i | ||||
\(536\) | −0.872812 | + | 22.3690i | −0.0376997 | + | 0.966194i | ||||
\(537\) | −18.0090 | − | 12.3058i | −0.777146 | − | 0.531033i | ||||
\(538\) | 17.0859 | − | 10.4610i | 0.736625 | − | 0.451004i | ||||
\(539\) | 4.78198 | − | 2.76088i | 0.205975 | − | 0.118919i | ||||
\(540\) | −7.89200 | + | 3.39104i | −0.339618 | + | 0.145927i | ||||
\(541\) | 19.9524 | + | 11.5195i | 0.857822 | + | 0.495264i | 0.863282 | − | 0.504722i | \(-0.168405\pi\) |
−0.00546053 | + | 0.999985i | \(0.501738\pi\) | |||||||
\(542\) | −9.18151 | + | 0.236802i | −0.394380 | + | 0.0101715i | ||||
\(543\) | −8.66187 | + | 19.1436i | −0.371716 | + | 0.821528i | ||||
\(544\) | −14.0376 | − | 3.14113i | −0.601859 | − | 0.134675i | ||||
\(545\) | −6.35975 | + | 12.6633i | −0.272422 | + | 0.542436i | ||||
\(546\) | 24.6043 | + | 15.8977i | 1.05297 | + | 0.680359i | ||||
\(547\) | −10.0847 | − | 33.6852i | −0.431190 | − | 1.44027i | −0.847375 | − | 0.530994i | \(-0.821819\pi\) |
0.416186 | − | 0.909280i | \(-0.363367\pi\) | |||||||
\(548\) | −1.82365 | − | 10.7575i | −0.0779023 | − | 0.459539i | ||||
\(549\) | 28.4864 | − | 31.6109i | 1.21577 | − | 1.34912i | ||||
\(550\) | 32.7144 | + | 15.3868i | 1.39495 | + | 0.656094i | ||||
\(551\) | 1.20611 | + | 0.793274i | 0.0513822 | + | 0.0337946i | ||||
\(552\) | −14.3445 | + | 28.6705i | −0.610541 | + | 1.22030i | ||||
\(553\) | 20.6124 | + | 2.40925i | 0.876530 | + | 0.102452i | ||||
\(554\) | −24.9376 | + | 27.8364i | −1.05950 | + | 1.18266i | ||||
\(555\) | −3.55376 | + | 5.91165i | −0.150849 | + | 0.250936i | ||||
\(556\) | 7.65462 | − | 31.3722i | 0.324628 | − | 1.33048i | ||||
\(557\) | −17.8063 | − | 6.48097i | −0.754478 | − | 0.274608i | −0.0639895 | − | 0.997951i | \(-0.520382\pi\) |
−0.690489 | + | 0.723343i | \(0.742605\pi\) | |||||||
\(558\) | −9.31201 | − | 32.2197i | −0.394209 | − | 1.36397i | ||||
\(559\) | 7.09741 | + | 19.5000i | 0.300189 | + | 0.824762i | ||||
\(560\) | 4.56466 | − | 6.74441i | 0.192892 | − | 0.285003i | ||||
\(561\) | 3.48502 | − | 25.8484i | 0.147138 | − | 1.09132i | ||||
\(562\) | −9.23699 | − | 5.73967i | −0.389639 | − | 0.242113i | ||||
\(563\) | 21.4665 | + | 6.42665i | 0.904706 | + | 0.270851i | 0.705169 | − | 0.709039i | \(-0.250871\pi\) |
0.199537 | + | 0.979890i | \(0.436056\pi\) | |||||||
\(564\) | −0.392586 | − | 0.554958i | −0.0165308 | − | 0.0233679i | ||||
\(565\) | 8.27892 | − | 6.16343i | 0.348297 | − | 0.259297i | ||||
\(566\) | −29.4712 | + | 13.6243i | −1.23877 | + | 0.572672i | ||||
\(567\) | 20.9251 | − | 7.32194i | 0.878773 | − | 0.307493i | ||||
\(568\) | 1.40371 | − | 5.03843i | 0.0588982 | − | 0.211408i | ||||
\(569\) | 20.2281 | − | 15.0592i | 0.848005 | − | 0.631316i | −0.0829083 | − | 0.996557i | \(-0.526421\pi\) |
0.930913 | + | 0.365241i | \(0.119013\pi\) | |||||||
\(570\) | 11.3109 | + | 4.01308i | 0.473761 | + | 0.168089i | ||||
\(571\) | −9.69476 | + | 32.3828i | −0.405713 | + | 1.35518i | 0.474357 | + | 0.880333i | \(0.342681\pi\) |
−0.880070 | + | 0.474844i | \(0.842505\pi\) | |||||||
\(572\) | 7.05263 | − | 57.0667i | 0.294885 | − | 2.38608i | ||||
\(573\) | 18.5707 | − | 7.62449i | 0.775801 | − | 0.318518i | ||||
\(574\) | −4.54355 | + | 13.5615i | −0.189644 | + | 0.566044i | ||||
\(575\) | 26.5455 | − | 9.66178i | 1.10702 | − | 0.402924i | ||||
\(576\) | −18.3382 | + | 15.4826i | −0.764091 | + | 0.645108i | ||||
\(577\) | −10.0880 | − | 3.67172i | −0.419967 | − | 0.152856i | 0.123388 | − | 0.992359i | \(-0.460624\pi\) |
−0.543355 | + | 0.839503i | \(0.682846\pi\) | |||||||
\(578\) | −9.27812 | + | 11.6548i | −0.385919 | + | 0.484774i | ||||
\(579\) | 14.5847 | − | 8.08047i | 0.606121 | − | 0.335813i | ||||
\(580\) | −0.384887 | − | 0.118004i | −0.0159816 | − | 0.00489985i | ||||
\(581\) | 20.0843 | + | 2.34752i | 0.833237 | + | 0.0973914i | ||||
\(582\) | 16.5580 | + | 17.2673i | 0.686351 | + | 0.715751i | ||||
\(583\) | −12.4189 | + | 18.8820i | −0.514338 | + | 0.782012i | ||||
\(584\) | −2.27939 | − | 5.01739i | −0.0943218 | − | 0.207621i | ||||
\(585\) | 0.425161 | − | 12.0311i | 0.0175782 | − | 0.497424i | ||||
\(586\) | −36.6703 | − | 9.95573i | −1.51484 | − | 0.411267i | ||||
\(587\) | −24.2779 | + | 7.26831i | −1.00205 | + | 0.299995i | −0.745479 | − | 0.666529i | \(-0.767779\pi\) |
−0.256575 | + | 0.966524i | \(0.582594\pi\) | |||||||
\(588\) | 1.99117 | − | 2.54335i | 0.0821144 | − | 0.104886i | ||||
\(589\) | −21.0310 | + | 41.8761i | −0.866566 | + | 1.72547i | ||||
\(590\) | 2.30757 | − | 5.75304i | 0.0950012 | − | 0.236849i | ||||
\(591\) | 1.66028 | + | 16.7679i | 0.0682947 | + | 0.689741i | ||||
\(592\) | −4.69187 | + | 18.6924i | −0.192835 | + | 0.768251i | ||||
\(593\) | −2.40890 | − | 1.39078i | −0.0989215 | − | 0.0571123i | 0.449723 | − | 0.893168i | \(-0.351523\pi\) |
−0.548645 | + | 0.836056i | \(0.684856\pi\) | |||||||
\(594\) | −30.8288 | − | 30.7126i | −1.26492 | − | 1.26015i | ||||
\(595\) | 2.58864 | + | 4.48365i | 0.106124 | + | 0.183812i | ||||
\(596\) | 0.811351 | − | 1.21602i | 0.0332342 | − | 0.0498102i | ||||
\(597\) | −10.6094 | + | 5.09563i | −0.434213 | + | 0.208550i | ||||
\(598\) | −27.7511 | − | 35.3363i | −1.13483 | − | 1.44501i | ||||
\(599\) | 1.11931 | + | 19.2178i | 0.0457338 | + | 0.785219i | 0.940732 | + | 0.339150i | \(0.110139\pi\) |
−0.894999 | + | 0.446069i | \(0.852824\pi\) | |||||||
\(600\) | 21.1141 | + | 1.19763i | 0.861980 | + | 0.0488929i | ||||
\(601\) | 11.2535 | + | 2.66714i | 0.459041 | + | 0.108795i | 0.453629 | − | 0.891191i | \(-0.350129\pi\) |
0.00541204 | + | 0.999985i | \(0.498277\pi\) | |||||||
\(602\) | −14.3949 | + | 3.80617i | −0.586691 | + | 0.155128i | ||||
\(603\) | −21.5815 | + | 9.90026i | −0.878866 | + | 0.403170i | ||||
\(604\) | 10.0110 | − | 17.0781i | 0.407344 | − | 0.694897i | ||||
\(605\) | 1.15669 | − | 19.8597i | 0.0470263 | − | 0.807410i | ||||
\(606\) | 0.435919 | + | 6.56519i | 0.0177080 | + | 0.266693i | ||||
\(607\) | −21.7519 | − | 16.1937i | −0.882884 | − | 0.657283i | 0.0571492 | − | 0.998366i | \(-0.481799\pi\) |
−0.940033 | + | 0.341083i | \(0.889206\pi\) | |||||||
\(608\) | 33.4985 | + | 1.52879i | 1.35854 | + | 0.0620004i | ||||
\(609\) | 0.969909 | + | 0.372545i | 0.0393027 | + | 0.0150963i | ||||
\(610\) | 15.4288 | − | 6.07052i | 0.624692 | − | 0.245788i | ||||
\(611\) | 0.938249 | − | 0.165439i | 0.0379575 | − | 0.00669293i | ||||
\(612\) | −3.75932 | − | 14.7870i | −0.151962 | − | 0.597728i | ||||
\(613\) | 12.7711 | + | 2.25189i | 0.515820 | + | 0.0909530i | 0.425498 | − | 0.904960i | \(-0.360099\pi\) |
0.0903226 | + | 0.995913i | \(0.471210\pi\) | |||||||
\(614\) | 28.1243 | − | 5.71041i | 1.13501 | − | 0.230453i | ||||
\(615\) | 5.74237 | − | 1.25428i | 0.231555 | − | 0.0505776i | ||||
\(616\) | 40.3210 | + | 8.74310i | 1.62458 | + | 0.352270i | ||||
\(617\) | 5.38304 | + | 22.7128i | 0.216713 | + | 0.914385i | 0.967304 | + | 0.253618i | \(0.0816206\pi\) |
−0.750591 | + | 0.660767i | \(0.770231\pi\) | |||||||
\(618\) | −18.3556 | + | 22.2398i | −0.738370 | + | 0.894615i | ||||
\(619\) | 29.7478 | − | 3.47702i | 1.19566 | − | 0.139753i | 0.505124 | − | 0.863047i | \(-0.331447\pi\) |
0.690541 | + | 0.723294i | \(0.257373\pi\) | |||||||
\(620\) | 2.35417 | − | 12.8540i | 0.0945456 | − | 0.516227i | ||||
\(621\) | −34.0030 | + | 0.176541i | −1.36449 | + | 0.00708433i | ||||
\(622\) | 1.07586 | − | 11.8463i | 0.0431379 | − | 0.474992i | ||||
\(623\) | −11.5040 | + | 26.6693i | −0.460898 | + | 1.06848i | ||||
\(624\) | −8.64767 | − | 32.5058i | −0.346184 | − | 1.30127i | ||||
\(625\) | −10.4440 | − | 11.0700i | −0.417760 | − | 0.442799i | ||||
\(626\) | −37.3494 | − | 1.21025i | −1.49278 | − | 0.0483714i | ||||
\(627\) | 2.46277 | + | 60.7522i | 0.0983534 | + | 2.42621i | ||||
\(628\) | −10.4708 | + | 23.8398i | −0.417832 | + | 0.951312i | ||||
\(629\) | −9.38543 | − | 7.87531i | −0.374221 | − | 0.314009i | ||||
\(630\) | 8.56955 | + | 1.08459i | 0.341419 | + | 0.0432111i | ||||
\(631\) | −1.21490 | − | 1.44787i | −0.0483646 | − | 0.0576387i | 0.741320 | − | 0.671152i | \(-0.234200\pi\) |
−0.789684 | + | 0.613513i | \(0.789756\pi\) | |||||||
\(632\) | −15.6645 | − | 17.9573i | −0.623101 | − | 0.714303i | ||||
\(633\) | 4.80648 | + | 13.9685i | 0.191041 | + | 0.555198i | ||||
\(634\) | 19.3495 | − | 6.34086i | 0.768466 | − | 0.251828i | ||||
\(635\) | 15.1340 | − | 6.52817i | 0.600574 | − | 0.259062i | ||||
\(636\) | −2.61095 | + | 12.9599i | −0.103531 | + | 0.513895i | ||||
\(637\) | 2.03171 | + | 4.04547i | 0.0804994 | + | 0.160287i | ||||
\(638\) | −0.171039 | − | 2.03229i | −0.00677150 | − | 0.0804589i | ||||
\(639\) | 5.43987 | − | 1.08792i | 0.215198 | − | 0.0430376i | ||||
\(640\) | −9.08618 | + | 2.21079i | −0.359163 | + | 0.0873891i | ||||
\(641\) | −6.80724 | − | 6.42230i | −0.268870 | − | 0.253666i | 0.539984 | − | 0.841675i | \(-0.318430\pi\) |
−0.808854 | + | 0.588010i | \(0.799912\pi\) | |||||||
\(642\) | −27.0026 | − | 25.0641i | −1.06571 | − | 0.989203i | ||||
\(643\) | 11.7398 | − | 7.72141i | 0.462974 | − | 0.304503i | −0.296509 | − | 0.955030i | \(-0.595822\pi\) |
0.759483 | + | 0.650527i | \(0.225452\pi\) | |||||||
\(644\) | 27.0515 | − | 17.5371i | 1.06598 | − | 0.691059i | ||||
\(645\) | 4.37600 | + | 4.27712i | 0.172305 | + | 0.168411i | ||||
\(646\) | −10.1794 | + | 18.7306i | −0.400505 | + | 0.736944i | ||||
\(647\) | 4.52954 | 0.178074 | 0.0890372 | − | 0.996028i | \(-0.471621\pi\) | ||||
0.0890372 | + | 0.996028i | \(0.471621\pi\) | |||||||
\(648\) | −23.4411 | − | 9.92551i | −0.920853 | − | 0.389911i | ||||
\(649\) | 31.4027 | 1.23267 | ||||||||
\(650\) | −14.1529 | + | 26.0420i | −0.555124 | + | 1.02145i | ||||
\(651\) | −8.35627 | + | 32.6750i | −0.327508 | + | 1.28064i | ||||
\(652\) | −4.20203 | − | 6.48175i | −0.164564 | − | 0.253845i | ||||
\(653\) | 3.19969 | − | 2.10447i | 0.125213 | − | 0.0823541i | −0.485357 | − | 0.874316i | \(-0.661310\pi\) |
0.610571 | + | 0.791962i | \(0.290940\pi\) | |||||||
\(654\) | −40.1316 | + | 12.3707i | −1.56927 | + | 0.483733i | ||||
\(655\) | 5.03741 | + | 4.75255i | 0.196828 | + | 0.185698i | ||||
\(656\) | 14.3298 | − | 8.02272i | 0.559483 | − | 0.313235i | ||||
\(657\) | 3.65390 | − | 4.56236i | 0.142552 | − | 0.177994i | ||||
\(658\) | 0.0573295 | + | 0.681189i | 0.00223494 | + | 0.0265555i | ||||
\(659\) | −19.0994 | − | 38.0300i | −0.744006 | − | 1.48144i | −0.871918 | − | 0.489653i | \(-0.837124\pi\) |
0.127911 | − | 0.991786i | \(-0.459173\pi\) | |||||||
\(660\) | −5.41080 | − | 16.0691i | −0.210615 | − | 0.625487i | ||||
\(661\) | −6.31960 | + | 2.72601i | −0.245804 | + | 0.106030i | −0.515418 | − | 0.856939i | \(-0.672363\pi\) |
0.269614 | + | 0.962969i | \(0.413104\pi\) | |||||||
\(662\) | 13.7931 | − | 4.52002i | 0.536084 | − | 0.175676i | ||||
\(663\) | 20.9897 | + | 4.08453i | 0.815173 | + | 0.158630i | ||||
\(664\) | −15.2632 | − | 17.4972i | −0.592325 | − | 0.679023i | ||||
\(665\) | −7.75786 | − | 9.24546i | −0.300837 | − | 0.358524i | ||||
\(666\) | −19.9343 | + | 4.52415i | −0.772440 | + | 0.175307i | ||||
\(667\) | −1.22079 | − | 1.02436i | −0.0472692 | − | 0.0396636i | ||||
\(668\) | −20.1511 | − | 8.85068i | −0.779668 | − | 0.342443i | ||||
\(669\) | 2.08962 | − | 1.32210i | 0.0807895 | − | 0.0511152i | ||||
\(670\) | −9.24665 | − | 0.299624i | −0.357229 | − | 0.0115755i | ||||
\(671\) | 57.6418 | + | 61.0968i | 2.22524 | + | 2.35861i | ||||
\(672\) | 23.7891 | − | 4.06992i | 0.917685 | − | 0.157000i | ||||
\(673\) | −3.02270 | + | 7.00741i | −0.116517 | + | 0.270116i | −0.966487 | − | 0.256714i | \(-0.917360\pi\) |
0.849971 | + | 0.526830i | \(0.176619\pi\) | |||||||
\(674\) | 0.925663 | − | 10.1925i | 0.0356552 | − | 0.392599i | ||||
\(675\) | 8.99123 | + | 20.5500i | 0.346073 | + | 0.790970i | ||||
\(676\) | 20.7960 | + | 3.80873i | 0.799847 | + | 0.146490i | ||||
\(677\) | −47.2276 | + | 5.52011i | −1.81510 | + | 0.212155i | −0.954723 | − | 0.297497i | \(-0.903848\pi\) |
−0.860380 | + | 0.509652i | \(0.829774\pi\) | |||||||
\(678\) | 30.1649 | + | 5.06657i | 1.15847 | + | 0.194581i | ||||
\(679\) | −5.54807 | − | 23.4092i | −0.212915 | − | 0.898361i | ||||
\(680\) | 1.25979 | − | 5.80981i | 0.0483106 | − | 0.222796i | ||||
\(681\) | −10.3521 | + | 32.4791i | −0.396691 | + | 1.24460i | ||||
\(682\) | 64.8789 | − | 13.1731i | 2.48434 | − | 0.504425i | ||||
\(683\) | 35.5840 | + | 6.27441i | 1.36158 | + | 0.240084i | 0.806265 | − | 0.591555i | \(-0.201486\pi\) |
0.555318 | + | 0.831638i | \(0.312597\pi\) | |||||||
\(684\) | 14.6163 | + | 32.4255i | 0.558868 | + | 1.23982i | ||||
\(685\) | 4.44071 | − | 0.783017i | 0.169671 | − | 0.0299175i | ||||
\(686\) | −25.7143 | + | 10.1174i | −0.981775 | + | 0.386284i | ||||
\(687\) | 3.07644 | + | 19.4501i | 0.117373 | + | 0.742069i | ||||
\(688\) | 15.1757 | + | 7.87433i | 0.578569 | + | 0.300206i | ||||
\(689\) | −14.8621 | − | 11.0645i | −0.566203 | − | 0.421522i | ||||
\(690\) | −11.8876 | − | 5.84975i | −0.452554 | − | 0.222696i | ||||
\(691\) | −1.28298 | + | 22.0280i | −0.0488070 | + | 0.837984i | 0.881723 | + | 0.471768i | \(0.156384\pi\) |
−0.930530 | + | 0.366216i | \(0.880653\pi\) | |||||||
\(692\) | −34.7960 | − | 20.3972i | −1.32274 | − | 0.775384i | ||||
\(693\) | 11.0623 | + | 42.3394i | 0.420223 | + | 1.60834i | ||||
\(694\) | 8.05154 | − | 2.12892i | 0.305632 | − | 0.0808128i | ||||
\(695\) | 12.9859 | + | 3.07771i | 0.492582 | + | 0.116744i | ||||
\(696\) | −0.537048 | − | 1.06532i | −0.0203568 | − | 0.0403808i | ||||
\(697\) | 0.607050 | + | 10.4227i | 0.0229937 | + | 0.394786i | ||||
\(698\) | 18.6092 | + | 23.6957i | 0.704370 | + | 0.896895i | ||||
\(699\) | −0.654699 | + | 8.61612i | −0.0247630 | + | 0.325892i | ||||
\(700\) | −17.6905 | − | 11.8034i | −0.668639 | − | 0.446127i | ||||
\(701\) | −4.76420 | − | 8.25183i | −0.179941 | − | 0.311667i | 0.761919 | − | 0.647672i | \(-0.224257\pi\) |
−0.941860 | + | 0.336005i | \(0.890924\pi\) | |||||||
\(702\) | 26.6066 | − | 23.7681i | 1.00420 | − | 0.897067i | ||||
\(703\) | 24.7346 | + | 14.2805i | 0.932881 | + | 0.538599i | ||||
\(704\) | −27.5315 | − | 38.5535i | −1.03763 | − | 1.45304i | ||||
\(705\) | 0.228271 | − | 0.163756i | 0.00859720 | − | 0.00616741i | ||||
\(706\) | 5.06754 | − | 12.6340i | 0.190719 | − | 0.475486i | ||||
\(707\) | 2.96952 | − | 5.91280i | 0.111680 | − | 0.222374i | ||||
\(708\) | 17.0390 | − | 6.86442i | 0.640363 | − | 0.257981i | ||||
\(709\) | −19.2111 | + | 5.75142i | −0.721487 | + | 0.215999i | −0.626436 | − | 0.779473i | \(-0.715487\pi\) |
−0.0950518 | + | 0.995472i | \(0.530302\pi\) | |||||||
\(710\) | 2.08603 | + | 0.566342i | 0.0782873 | + | 0.0212544i | ||||
\(711\) | 9.47794 | − | 23.4306i | 0.355450 | − | 0.878715i | ||||
\(712\) | 30.3642 | − | 13.7944i | 1.13795 | − | 0.516966i | ||||
\(713\) | 28.4263 | − | 43.2201i | 1.06457 | − | 1.61861i | ||||
\(714\) | −4.28088 | + | 14.7337i | −0.160208 | + | 0.551396i | ||||
\(715\) | 23.6028 | + | 2.75877i | 0.882695 | + | 0.103172i | ||||
\(716\) | 7.38272 | − | 24.0798i | 0.275905 | − | 0.899905i | ||||
\(717\) | 0.740448 | − | 41.9191i | 0.0276525 | − | 1.56550i | ||||
\(718\) | −31.6374 | + | 39.7415i | −1.18070 | + | 1.48314i | ||||
\(719\) | 4.48698 | + | 1.63313i | 0.167336 | + | 0.0609053i | 0.424330 | − | 0.905508i | \(-0.360510\pi\) |
−0.256994 | + | 0.966413i | \(0.582732\pi\) | |||||||
\(720\) | −6.44845 | − | 7.53621i | −0.240320 | − | 0.280858i | ||||
\(721\) | 27.2494 | − | 9.91799i | 1.01482 | − | 0.369365i | ||||
\(722\) | 7.25122 | − | 21.6432i | 0.269862 | − | 0.805478i | ||||
\(723\) | −36.0308 | − | 27.8263i | −1.34000 | − | 1.03487i | ||||
\(724\) | −24.0794 | − | 2.97586i | −0.894902 | − | 0.110597i | ||||
\(725\) | −0.301505 | + | 1.00710i | −0.0111976 | + | 0.0374027i | ||||
\(726\) | 44.8524 | − | 38.2608i | 1.66463 | − | 1.41999i | ||||
\(727\) | 7.85508 | − | 5.84789i | 0.291329 | − | 0.216886i | −0.441565 | − | 0.897229i | \(-0.645577\pi\) |
0.732894 | + | 0.680343i | \(0.238169\pi\) | |||||||
\(728\) | −9.07797 | + | 32.5843i | −0.336452 | + | 1.20765i | ||||
\(729\) | −1.84971 | − | 26.9366i | −0.0685077 | − | 0.997651i | ||||
\(730\) | 2.06728 | − | 0.955686i | 0.0765134 | − | 0.0353715i | ||||
\(731\) | −8.71825 | + | 6.49050i | −0.322456 | + | 0.240060i | ||||
\(732\) | 44.6315 | + | 20.5507i | 1.64963 | + | 0.759575i | ||||
\(733\) | 3.41985 | + | 1.02384i | 0.126315 | + | 0.0378163i | 0.349337 | − | 0.936997i | \(-0.386407\pi\) |
−0.223022 | + | 0.974813i | \(0.571592\pi\) | |||||||
\(734\) | −29.3573 | − | 18.2420i | −1.08360 | − | 0.673326i | ||||
\(735\) | 1.05651 | + | 0.815931i | 0.0389698 | + | 0.0300961i | ||||
\(736\) | −36.5338 | − | 5.96934i | −1.34665 | − | 0.220033i | ||||
\(737\) | −16.0302 | − | 44.0427i | −0.590481 | − | 1.62233i | ||||
\(738\) | 14.4613 | + | 9.71023i | 0.532329 | + | 0.357439i | ||||
\(739\) | −19.8149 | − | 7.21204i | −0.728903 | − | 0.265299i | −0.0492027 | − | 0.998789i | \(-0.515668\pi\) |
−0.679701 | + | 0.733490i | \(0.737890\pi\) | |||||||
\(740\) | −7.73767 | − | 1.88794i | −0.284442 | − | 0.0694020i | ||||
\(741\) | −49.8406 | − | 0.880373i | −1.83094 | − | 0.0323413i | ||||
\(742\) | 8.87093 | − | 9.90212i | 0.325662 | − | 0.363518i | ||||
\(743\) | −33.6457 | − | 3.93262i | −1.23434 | − | 0.144274i | −0.526211 | − | 0.850354i | \(-0.676388\pi\) |
−0.708132 | + | 0.706080i | \(0.750462\pi\) | |||||||
\(744\) | 32.3234 | − | 21.3297i | 1.18503 | − | 0.781986i | ||||
\(745\) | 0.504752 | + | 0.331981i | 0.0184927 | + | 0.0121628i | ||||
\(746\) | −37.7322 | − | 17.7468i | −1.38148 | − | 0.649757i | ||||
\(747\) | 9.23508 | − | 22.8302i | 0.337894 | − | 0.835314i | ||||
\(748\) | 29.6935 | − | 5.03373i | 1.08570 | − | 0.184051i | ||||
\(749\) | 10.6258 | + | 35.4926i | 0.388258 | + | 1.29687i | ||||
\(750\) | −0.943774 | + | 18.8393i | −0.0344617 | + | 0.687914i | ||||
\(751\) | −7.23853 | + | 14.4131i | −0.264138 | + | 0.525941i | −0.986133 | − | 0.165957i | \(-0.946929\pi\) |
0.721996 | + | 0.691898i | \(0.243225\pi\) | |||||||
\(752\) | 0.477014 | − | 0.623372i | 0.0173949 | − | 0.0227321i | ||||
\(753\) | 21.9389 | + | 30.5822i | 0.799498 | + | 1.11448i | ||||
\(754\) | 1.67150 | − | 0.0431098i | 0.0608723 | − | 0.00156997i | ||||
\(755\) | 7.08506 | + | 4.09056i | 0.257852 | + | 0.148871i | ||||
\(756\) | 15.2574 | + | 20.5550i | 0.554908 | + | 0.747577i | ||||
\(757\) | −13.9956 | + | 8.08037i | −0.508679 | + | 0.293686i | −0.732291 | − | 0.680992i | \(-0.761549\pi\) |
0.223611 | + | 0.974678i | \(0.428215\pi\) | |||||||
\(758\) | −16.4531 | + | 10.0736i | −0.597605 | + | 0.365888i | ||||
\(759\) | 5.08554 | − | 66.9279i | 0.184593 | − | 2.42933i | ||||
\(760\) | −0.540326 | + | 13.8478i | −0.0195997 | + | 0.502314i | ||||
\(761\) | 27.5013 | − | 1.60177i | 0.996920 | − | 0.0580640i | 0.448082 | − | 0.893992i | \(-0.352107\pi\) |
0.548838 | + | 0.835928i | \(0.315070\pi\) | |||||||
\(762\) | 45.0058 | + | 18.9815i | 1.63039 | + | 0.687626i | ||||
\(763\) | 41.0924 | + | 9.73909i | 1.48765 | + | 0.352579i | ||||
\(764\) | 14.7825 | + | 17.8554i | 0.534813 | + | 0.645985i | ||||
\(765\) | 6.10064 | − | 1.59396i | 0.220569 | − | 0.0576298i | ||||
\(766\) | 14.8877 | + | 21.4120i | 0.537915 | + | 0.773648i | ||||
\(767\) | −1.49696 | + | 25.7019i | −0.0540522 | + | 0.928041i | ||||
\(768\) | −23.3660 | − | 14.9007i | −0.843146 | − | 0.537684i | ||||
\(769\) | 8.57170 | − | 11.5138i | 0.309103 | − | 0.415198i | −0.620241 | − | 0.784411i | \(-0.712965\pi\) |
0.929345 | + | 0.369213i | \(0.120373\pi\) | |||||||
\(770\) | −3.50311 | + | 16.6870i | −0.126243 | + | 0.601358i | ||||
\(771\) | −2.87442 | − | 18.1729i | −0.103520 | − | 0.654481i | ||||
\(772\) | 13.9165 | + | 13.3044i | 0.500867 | + | 0.478837i | ||||
\(773\) | 1.50389 | + | 8.52900i | 0.0540912 | + | 0.306767i | 0.999835 | − | 0.0181457i | \(-0.00577628\pi\) |
−0.945744 | + | 0.324912i | \(0.894665\pi\) | |||||||
\(774\) | −0.172968 | + | 18.1333i | −0.00621721 | + | 0.651787i | ||||
\(775\) | −33.6063 | − | 5.92570i | −1.20718 | − | 0.212858i | ||||
\(776\) | −13.3508 | + | 24.1838i | −0.479266 | + | 0.868148i | ||||
\(777\) | 19.5853 | + | 6.24240i | 0.702618 | + | 0.223945i | ||||
\(778\) | −2.38551 | − | 4.45940i | −0.0855246 | − | 0.159877i | ||||
\(779\) | −5.61276 | − | 23.6821i | −0.201098 | − | 0.848499i | ||||
\(780\) | 13.4098 | − | 3.66251i | 0.480148 | − | 0.131139i | ||||
\(781\) | 1.27129 | + | 10.8766i | 0.0454903 | + | 0.389195i | ||||
\(782\) | 13.5618 | − | 19.2327i | 0.484969 | − | 0.687761i | ||||
\(783\) | 0.750365 | − | 1.01892i | 0.0268159 | − | 0.0364131i | ||||
\(784\) | 3.48767 | + | 1.32185i | 0.124560 | + | 0.0472091i | ||||
\(785\) | −9.88070 | − | 4.26212i | −0.352657 | − | 0.152121i | ||||
\(786\) | 0.166724 | + | 20.5232i | 0.00594685 | + | 0.732039i | ||||
\(787\) | −19.2673 | − | 20.4221i | −0.686805 | − | 0.727971i | 0.286349 | − | 0.958125i | \(-0.407558\pi\) |
−0.973154 | + | 0.230155i | \(0.926077\pi\) | |||||||
\(788\) | −17.9159 | + | 7.58817i | −0.638228 | + | 0.270317i | ||||
\(789\) | −0.148327 | − | 0.234437i | −0.00528060 | − | 0.00834618i | ||||
\(790\) | 7.37832 | − | 6.52259i | 0.262509 | − | 0.232063i | ||||
\(791\) | −23.5629 | − | 19.7716i | −0.837799 | − | 0.702997i | ||||
\(792\) | 23.2734 | − | 44.5337i | 0.826986 | − | 1.58244i | ||||
\(793\) | −52.7530 | + | 44.2650i | −1.87331 | + | 1.57190i | ||||
\(794\) | −0.113650 | + | 0.758406i | −0.00403330 | + | 0.0269148i | ||||
\(795\) | −5.36299 | − | 1.04362i | −0.190206 | − | 0.0370134i | ||||
\(796\) | −9.26079 | − | 9.94671i | −0.328240 | − | 0.352552i | ||||
\(797\) | 20.0714 | + | 46.5307i | 0.710964 | + | 1.64820i | 0.760426 | + | 0.649424i | \(0.224990\pi\) |
−0.0494621 | + | 0.998776i | \(0.515751\pi\) | |||||||
\(798\) | 3.86359 | − | 35.5579i | 0.136770 | − | 1.25874i | ||||
\(799\) | 0.223954 | + | 0.445929i | 0.00792292 | + | 0.0157758i | ||||
\(800\) | 5.92983 | + | 23.6887i | 0.209651 | + | 0.837524i | ||||
\(801\) | 27.6104 | + | 22.1126i | 0.975565 | + | 0.781311i | ||||
\(802\) | 18.0405 | + | 18.1601i | 0.637033 | + | 0.641255i | ||||
\(803\) | 8.39247 | + | 7.91789i | 0.296164 | + | 0.279416i | ||||
\(804\) | −18.3253 | − | 20.3932i | −0.646284 | − | 0.719213i | ||||
\(805\) | 7.32130 | + | 11.1315i | 0.258042 | + | 0.392334i | ||||
\(806\) | 7.68890 | + | 53.7288i | 0.270830 | + | 1.89251i | ||||
\(807\) | −6.07928 | + | 23.7714i | −0.214001 | + | 0.836794i | ||||
\(808\) | −7.08819 | + | 2.73494i | −0.249362 | + | 0.0962149i | ||||
\(809\) | 32.6508i | 1.14794i | 0.818875 | + | 0.573971i | \(0.194598\pi\) | ||||
−0.818875 | + | 0.573971i | \(0.805402\pi\) | |||||||
\(810\) | 4.03784 | − | 9.71442i | 0.141875 | − | 0.341330i | ||||
\(811\) | 8.80653 | 0.309239 | 0.154619 | − | 0.987974i | \(-0.450585\pi\) | ||||
0.154619 | + | 0.987974i | \(0.450585\pi\) | |||||||
\(812\) | −0.0776694 | + | 1.19721i | −0.00272566 | + | 0.0420139i | ||||
\(813\) | 7.86266 | − | 8.04444i | 0.275755 | − | 0.282131i | ||||
\(814\) | −5.71607 | − | 39.9430i | −0.200348 | − | 1.40000i | ||||
\(815\) | 2.66719 | − | 1.75424i | 0.0934277 | − | 0.0614484i | ||||
\(816\) | 15.0112 | − | 9.22207i | 0.525498 | − | 0.322837i | ||||
\(817\) | 17.3876 | − | 18.4297i | 0.608314 | − | 0.644775i | ||||
\(818\) | 7.93120 | − | 7.87897i | 0.277308 | − | 0.275482i | ||||
\(819\) | −35.1804 | + | 7.03576i | −1.22930 | + | 0.245849i | ||||
\(820\) | 3.35462 | + | 5.90005i | 0.117148 | + | 0.206039i | ||||
\(821\) | 28.0482 | − | 14.0864i | 0.978891 | − | 0.491617i | 0.113947 | − | 0.993487i | \(-0.463651\pi\) |
0.864943 | + | 0.501869i | \(0.167354\pi\) | |||||||
\(822\) | 10.7834 | + | 7.89262i | 0.376115 | + | 0.275287i | ||||
\(823\) | −27.4216 | + | 11.8285i | −0.955855 | + | 0.412316i | −0.816126 | − | 0.577874i | \(-0.803883\pi\) |
−0.139729 | + | 0.990190i | \(0.544623\pi\) | |||||||
\(824\) | −30.8215 | − | 12.5997i | −1.07372 | − | 0.438930i | ||||
\(825\) | −41.8680 | + | 14.4065i | −1.45766 | + | 0.501572i | ||||
\(826\) | −18.2689 | − | 2.73767i | −0.635655 | − | 0.0952556i | ||||
\(827\) | 5.87503 | + | 7.00158i | 0.204295 | + | 0.243469i | 0.858457 | − | 0.512885i | \(-0.171423\pi\) |
−0.654163 | + | 0.756354i | \(0.726979\pi\) | |||||||
\(828\) | −11.8706 | − | 37.4264i | −0.412531 | − | 1.30066i | ||||
\(829\) | −1.53365 | + | 1.82774i | −0.0532660 | + | 0.0634799i | −0.792020 | − | 0.610496i | \(-0.790970\pi\) |
0.738754 | + | 0.673976i | \(0.235415\pi\) | |||||||
\(830\) | 7.18926 | − | 6.35547i | 0.249543 | − | 0.220601i | ||||
\(831\) | −1.85400 | − | 45.7349i | −0.0643145 | − | 1.58653i | ||||
\(832\) | 32.8669 | − | 20.6956i | 1.13946 | − | 0.717490i | ||||
\(833\) | −1.72468 | + | 1.62715i | −0.0597565 | + | 0.0563773i | ||||
\(834\) | 20.0527 | + | 34.0897i | 0.694367 | + | 1.18043i | ||||
\(835\) | 3.60263 | − | 8.35184i | 0.124674 | − | 0.289028i | ||||
\(836\) | −66.1313 | + | 23.5762i | −2.28720 | + | 0.815401i | ||||
\(837\) | 35.6789 | + | 20.3530i | 1.23324 | + | 0.703502i | ||||
\(838\) | −8.83439 | + | 12.5285i | −0.305179 | + | 0.432791i | ||||
\(839\) | 15.6460 | − | 1.82875i | 0.540159 | − | 0.0631355i | 0.158361 | − | 0.987381i | \(-0.449379\pi\) |
0.381798 | + | 0.924246i | \(0.375305\pi\) | |||||||
\(840\) | 1.74690 | + | 9.82004i | 0.0602737 | + | 0.338823i | ||||
\(841\) | −28.1606 | + | 6.67418i | −0.971055 | + | 0.230144i | ||||
\(842\) | 12.5741 | − | 6.72636i | 0.433331 | − | 0.231806i | ||||
\(843\) | 13.0123 | − | 2.84223i | 0.448168 | − | 0.0978917i | ||||
\(844\) | −13.7493 | + | 10.0955i | −0.473270 | + | 0.347501i | ||||
\(845\) | −1.51723 | + | 8.60462i | −0.0521942 | + | 0.296008i | ||||
\(846\) | 0.818493 | + | 0.152386i | 0.0281404 | + | 0.00523914i | ||||
\(847\) | −58.3848 | + | 10.2948i | −2.00613 | + | 0.353734i | ||||
\(848\) | −15.1844 | + | 1.57172i | −0.521435 | + | 0.0539732i | ||||
\(849\) | 14.2583 | − | 37.1209i | 0.489342 | − | 1.27399i | ||||
\(850\) | −15.1930 | − | 3.18946i | −0.521115 | − | 0.109398i | ||||
\(851\) | −25.2903 | − | 18.8279i | −0.866939 | − | 0.645412i | ||||
\(852\) | 3.06734 | + | 5.62368i | 0.105085 | + | 0.192664i | ||||
\(853\) | −13.0673 | − | 0.761085i | −0.447416 | − | 0.0260590i | −0.167042 | − | 0.985950i | \(-0.553422\pi\) |
−0.280374 | + | 0.959891i | \(0.590459\pi\) | |||||||
\(854\) | −28.2073 | − | 40.5688i | −0.965235 | − | 1.38824i | ||||
\(855\) | −13.3603 | + | 6.12890i | −0.456913 | + | 0.209604i | ||||
\(856\) | 18.3601 | − | 38.3758i | 0.627536 | − | 1.31166i | ||||
\(857\) | 2.23063 | − | 9.41176i | 0.0761968 | − | 0.321500i | −0.921576 | − | 0.388197i | \(-0.873098\pi\) |
0.997773 | + | 0.0666973i | \(0.0212462\pi\) | |||||||
\(858\) | 42.5117 | + | 56.1452i | 1.45133 | + | 1.91676i | ||||
\(859\) | 1.39111 | + | 23.8844i | 0.0474639 | + | 0.814924i | 0.935101 | + | 0.354381i | \(0.115308\pi\) |
−0.887637 | + | 0.460543i | \(0.847655\pi\) | |||||||
\(860\) | −3.21273 | + | 6.29306i | −0.109553 | + | 0.214591i | ||||
\(861\) | −7.58381 | − | 15.7899i | −0.258455 | − | 0.538119i | ||||
\(862\) | −44.0809 | + | 26.9889i | −1.50140 | + | 0.919245i | ||||
\(863\) | −13.5041 | − | 23.3897i | −0.459684 | − | 0.796195i | 0.539260 | − | 0.842139i | \(-0.318704\pi\) |
−0.998944 | + | 0.0459436i | \(0.985371\pi\) | |||||||
\(864\) | 2.89330 | − | 29.2511i | 0.0984319 | − | 0.995144i | ||||
\(865\) | 8.33438 | − | 14.4356i | 0.283377 | − | 0.490824i | ||||
\(866\) | −0.202257 | − | 7.84211i | −0.00687297 | − | 0.266486i | ||||
\(867\) | −1.79773 | − | 18.1561i | −0.0610540 | − | 0.616613i | ||||
\(868\) | −38.8924 | + | 2.00749i | −1.32009 | + | 0.0681387i | ||||
\(869\) | 44.5845 | + | 22.3912i | 1.51243 | + | 0.759569i | ||||
\(870\) | 0.438790 | − | 0.224851i | 0.0148764 | − | 0.00762315i | ||||
\(871\) | 36.8113 | − | 11.0206i | 1.24730 | − | 0.373418i | ||||
\(872\) | −27.4187 | − | 39.9957i | −0.928513 | − | 1.35443i | ||||
\(873\) | −29.2817 | − | 1.03477i | −0.991035 | − | 0.0350217i | ||||
\(874\) | −23.3491 | + | 49.6434i | −0.789794 | + | 1.67921i | ||||
\(875\) | 10.4235 | − | 15.8482i | 0.352380 | − | 0.535768i | ||||
\(876\) | 6.28450 | + | 2.46167i | 0.212334 | + | 0.0831720i | ||||
\(877\) | 0.0125874 | − | 0.107692i | 0.000425045 | − | 0.00363649i | −0.993024 | − | 0.117911i | \(-0.962380\pi\) |
0.993449 | + | 0.114274i | \(0.0364543\pi\) | |||||||
\(878\) | 31.8127 | − | 35.5108i | 1.07363 | − | 1.19843i | ||||
\(879\) | 40.7074 | − | 22.5534i | 1.37303 | − | 0.760706i | ||||
\(880\) | 15.8576 | − | 11.4830i | 0.534558 | − | 0.387092i | ||||
\(881\) | −14.3923 | + | 39.5426i | −0.484890 | + | 1.33223i | 0.420364 | + | 0.907356i | \(0.361902\pi\) |
−0.905254 | + | 0.424870i | \(0.860320\pi\) | |||||||
\(882\) | 0.421766 | + | 3.93347i | 0.0142016 | + | 0.132447i | ||||
\(883\) | −10.3790 | + | 3.77764i | −0.349280 | + | 0.127128i | −0.510702 | − | 0.859758i | \(-0.670614\pi\) |
0.161421 | + | 0.986886i | \(0.448392\pi\) | |||||||
\(884\) | 2.70442 | + | 24.5429i | 0.0909594 | + | 0.825468i | ||||
\(885\) | 2.88333 | + | 7.02282i | 0.0969221 | + | 0.236070i | ||||
\(886\) | −35.2182 | − | 21.8838i | −1.18318 | − | 0.735202i | ||||
\(887\) | 11.0649 | − | 36.9592i | 0.371521 | − | 1.24097i | −0.544132 | − | 0.838999i | \(-0.683141\pi\) |
0.915654 | − | 0.401968i | \(-0.131674\pi\) | |||||||
\(888\) | −11.8328 | − | 20.4233i | −0.397081 | − | 0.685363i | ||||
\(889\) | −29.3319 | − | 39.3995i | −0.983759 | − | 1.32142i | ||||
\(890\) | 5.78360 | + | 12.5107i | 0.193867 | + | 0.419360i | ||||
\(891\) | 53.2923 | + | 0.664593i | 1.78536 | + | 0.0222647i | ||||
\(892\) | 2.17510 | + | 1.84975i | 0.0728276 | + | 0.0619341i | ||||
\(893\) | −0.694656 | − | 0.933085i | −0.0232458 | − | 0.0312245i | ||||
\(894\) | 0.325211 | + | 1.76061i | 0.0108767 | + | 0.0588835i | ||||
\(895\) | 9.97144 | + | 2.98525i | 0.333309 | + | 0.0997860i | ||||
\(896\) | 12.6556 | + | 24.8291i | 0.422795 | + | 0.829481i | ||||
\(897\) | 54.5354 | + | 7.35275i | 1.82088 | + | 0.245501i | ||||
\(898\) | −7.08524 | − | 2.37380i | −0.236438 | − | 0.0792147i | ||||
\(899\) | 0.658420 | + | 1.80900i | 0.0219595 | + | 0.0603334i | ||||
\(900\) | −19.5682 | + | 16.9690i | −0.652273 | + | 0.565632i | ||||
\(901\) | 3.31919 | − | 9.11940i | 0.110578 | − | 0.303811i | ||||
\(902\) | −21.4151 | + | 26.9007i | −0.713046 | + | 0.895696i | ||||
\(903\) | 9.39545 | − | 15.6293i | 0.312661 | − | 0.520109i | ||||
\(904\) | 4.77232 | + | 34.9954i | 0.158725 | + | 1.16393i | ||||
\(905\) | 1.16407 | − | 9.95923i | 0.0386949 | − | 0.331056i | ||||
\(906\) | 5.78275 | + | 23.5453i | 0.192119 | + | 0.782241i | ||||
\(907\) | −16.2146 | − | 10.6645i | −0.538397 | − | 0.354109i | 0.251005 | − | 0.967986i | \(-0.419239\pi\) |
−0.789402 | + | 0.613877i | \(0.789609\pi\) | |||||||
\(908\) | −39.3617 | − | 0.260059i | −1.30626 | − | 0.00863035i | ||||
\(909\) | −5.98630 | − | 5.39461i | −0.198553 | − | 0.178928i | ||||
\(910\) | −13.4907 | − | 3.66262i | −0.447211 | − | 0.121415i | ||||
\(911\) | −5.46848 | − | 18.2660i | −0.181179 | − | 0.605179i | −0.999536 | − | 0.0304691i | \(-0.990300\pi\) |
0.818357 | − | 0.574710i | \(-0.194885\pi\) | |||||||
\(912\) | −30.7289 | + | 27.2482i | −1.01754 | + | 0.902277i | ||||
\(913\) | 43.4421 | + | 21.8174i | 1.43772 | + | 0.722052i | ||||
\(914\) | −49.6916 | − | 19.9315i | −1.64365 | − | 0.659276i | ||||
\(915\) | −8.37096 | + | 18.5006i | −0.276736 | + | 0.611612i | ||||
\(916\) | −20.3867 | + | 10.0705i | −0.673594 | + | 0.332737i | ||||
\(917\) | 10.3196 | − | 17.8740i | 0.340782 | − | 0.590252i | ||||
\(918\) | 15.9228 | + | 9.77986i | 0.525531 | + | 0.322784i | ||||
\(919\) | 16.0785 | − | 9.28293i | 0.530381 | − | 0.306215i | −0.210791 | − | 0.977531i | \(-0.567604\pi\) |
0.741171 | + | 0.671316i | \(0.234271\pi\) | |||||||
\(920\) | 2.36715 | − | 15.1143i | 0.0780427 | − | 0.498305i | ||||
\(921\) | −19.8297 | + | 29.0200i | −0.653412 | + | 0.956242i | ||||
\(922\) | −1.94057 | + | 1.52401i | −0.0639091 | + | 0.0501906i | ||||
\(923\) | −8.96264 | + | 0.522015i | −0.295009 | + | 0.0171823i | ||||
\(924\) | −42.8790 | + | 26.7343i | −1.41062 | + | 0.879495i | ||||
\(925\) | −4.79651 | + | 20.2381i | −0.157708 | + | 0.665423i | ||||
\(926\) | −5.34905 | + | 1.41435i | −0.175781 | + | 0.0464785i | ||||
\(927\) | −2.85867 | − | 35.2013i | −0.0938911 | − | 1.15616i | ||||
\(928\) | 0.990062 | − | 0.957885i | 0.0325004 | − | 0.0314441i | ||||
\(929\) | 33.6735 | + | 1.96126i | 1.10479 | + | 0.0643468i | 0.600829 | − | 0.799378i | \(-0.294837\pi\) |
0.503964 | + | 0.863725i | \(0.331874\pi\) | |||||||
\(930\) | 8.90304 | + | 13.2998i | 0.291942 | + | 0.436118i | ||||
\(931\) | 3.30075 | − | 4.43368i | 0.108178 | − | 0.145308i | ||||
\(932\) | −9.72376 | + | 2.23683i | −0.318512 | + | 0.0732697i | ||||
\(933\) | 9.16580 | + | 11.3236i | 0.300075 | + | 0.370720i | ||||
\(934\) | 22.4781 | − | 8.84411i | 0.735505 | − | 0.289388i | ||||
\(935\) | 2.16133 | + | 12.2575i | 0.0706829 | + | 0.400863i | ||||
\(936\) | 35.3396 | + | 21.1713i | 1.15511 | + | 0.692005i | ||||
\(937\) | −2.60853 | + | 14.7937i | −0.0852170 | + | 0.483290i | 0.912092 | + | 0.409984i | \(0.134466\pi\) |
−0.997310 | + | 0.0733054i | \(0.976645\pi\) | |||||||
\(938\) | 5.48613 | + | 27.0198i | 0.179129 | + | 0.882226i | ||||
\(939\) | 33.8396 | − | 30.8147i | 1.10431 | − | 1.00560i | ||||
\(940\) | 0.258919 | + | 0.195430i | 0.00844501 | + | 0.00637422i | ||||
\(941\) | 48.1602 | − | 11.4142i | 1.56998 | − | 0.372092i | 0.648715 | − | 0.761032i | \(-0.275307\pi\) |
0.921263 | + | 0.388940i | \(0.127159\pi\) | |||||||
\(942\) | −11.1500 | − | 29.8771i | −0.363288 | − | 0.973448i | ||||
\(943\) | 3.11912 | + | 26.6857i | 0.101572 | + | 0.869007i | ||||
\(944\) | 13.4186 | + | 16.4277i | 0.436738 | + | 0.534676i | ||||
\(945\) | −8.45294 | + | 6.36146i | −0.274974 | + | 0.206938i | ||||
\(946\) | −35.6490 | − | 3.23758i | −1.15905 | − | 0.105263i | ||||
\(947\) | 2.55299 | + | 1.10125i | 0.0829609 | + | 0.0357858i | 0.437156 | − | 0.899386i | \(-0.355986\pi\) |
−0.354195 | + | 0.935172i | \(0.615245\pi\) | |||||||
\(948\) | 29.0859 | + | 2.40347i | 0.944665 | + | 0.0780611i | ||||
\(949\) | −6.88054 | + | 6.49146i | −0.223352 | + | 0.210722i | ||||
\(950\) | 36.1704 | + | 1.17205i | 1.17352 | + | 0.0380263i | ||||
\(951\) | −11.5841 | + | 22.0844i | −0.375640 | + | 0.716137i | ||||
\(952\) | −17.7133 | + | 0.339759i | −0.574093 | + | 0.0110117i | ||||
\(953\) | −17.7419 | + | 21.1439i | −0.574715 | + | 0.684919i | −0.972592 | − | 0.232520i | \(-0.925303\pi\) |
0.397877 | + | 0.917439i | \(0.369747\pi\) | |||||||
\(954\) | −8.76796 | − | 13.6121i | −0.283873 | − | 0.440707i | ||||
\(955\) | −7.33860 | + | 6.15782i | −0.237471 | + | 0.199262i | ||||
\(956\) | 46.4684 | − | 13.5779i | 1.50290 | − | 0.439140i | ||||
\(957\) | 1.88479 | + | 1.63912i | 0.0609268 | + | 0.0529851i | ||||
\(958\) | 39.0510 | − | 12.7971i | 1.26168 | − | 0.413455i | ||||
\(959\) | −5.32261 | − | 12.3392i | −0.171876 | − | 0.398454i | ||||
\(960\) | 6.09412 | − | 9.69696i | 0.196687 | − | 0.312968i | ||||
\(961\) | −28.1405 | + | 14.1327i | −0.907758 | + | 0.455893i | ||||
\(962\) | 32.9642 | − | 2.77430i | 1.06281 | − | 0.0894469i | ||||
\(963\) | 45.1106 | − | 1.03113i | 1.45367 | − | 0.0332276i | ||||
\(964\) | 18.3051 | − | 49.2775i | 0.589569 | − | 1.58712i | ||||
\(965\) | −5.46023 | + | 5.78751i | −0.175771 | + | 0.186306i | ||||
\(966\) | −8.79328 | + | 38.4926i | −0.282919 | + | 1.23848i | ||||
\(967\) | −10.9742 | − | 16.6854i | −0.352905 | − | 0.536566i | 0.614790 | − | 0.788691i | \(-0.289241\pi\) |
−0.967695 | + | 0.252125i | \(0.918871\pi\) | |||||||
\(968\) | 57.5826 | + | 36.3101i | 1.85077 | + | 1.16705i | ||||
\(969\) | −7.04525 | − | 25.1405i | −0.226326 | − | 0.807631i | ||||
\(970\) | −10.0307 | − | 5.45136i | −0.322067 | − | 0.175033i | ||||
\(971\) | − | 1.54811i | − | 0.0496811i | −0.999691 | − | 0.0248405i | \(-0.992092\pi\) | ||
0.999691 | − | 0.0248405i | \(-0.00790780\pi\) | |||||||
\(972\) | 29.0614 | − | 11.2887i | 0.932145 | − | 0.362086i | ||||
\(973\) | − | 39.7722i | − | 1.27504i | ||||||
\(974\) | 14.5111 | − | 26.7010i | 0.464965 | − | 0.855554i | ||||
\(975\) | −9.79533 | − | 34.9540i | −0.313702 | − | 1.11943i | ||||
\(976\) | −7.33077 | + | 56.2612i | −0.234652 | + | 1.80088i | ||||
\(977\) | 7.87833 | + | 11.9784i | 0.252050 | + | 0.383224i | 0.939244 | − | 0.343251i | \(-0.111528\pi\) |
−0.687194 | + | 0.726474i | \(0.741158\pi\) | |||||||
\(978\) | 9.22313 | + | 2.10694i | 0.294923 | + | 0.0673725i | ||||
\(979\) | −47.9173 | + | 50.7894i | −1.53144 | + | 1.62324i | ||||
\(980\) | −0.536750 | + | 1.44493i | −0.0171458 | + | 0.0461567i | ||||
\(981\) | 24.6920 | − | 45.1185i | 0.788355 | − | 1.44052i | ||||
\(982\) | 0.679565 | + | 8.07458i | 0.0216858 | + | 0.257670i | ||||
\(983\) | 18.5368 | − | 9.30953i | 0.591232 | − | 0.296928i | −0.127916 | − | 0.991785i | \(-0.540829\pi\) |
0.719148 | + | 0.694857i | \(0.244532\pi\) | |||||||
\(984\) | −5.73943 | + | 19.2774i | −0.182966 | + | 0.614541i | ||||
\(985\) | −3.18483 | − | 7.38326i | −0.101477 | − | 0.235250i | ||||
\(986\) | 0.272721 | + | 0.832223i | 0.00868521 | + | 0.0265034i | ||||
\(987\) | −0.631752 | − | 0.549405i | −0.0201089 | − | 0.0174878i | ||||
\(988\) | −16.1437 | − | 55.2497i | −0.513600 | − | 1.75773i | ||||
\(989\) | −21.4267 | + | 17.9791i | −0.681328 | + | 0.571702i | ||||
\(990\) | 18.4677 | + | 9.49645i | 0.586940 | + | 0.301817i | ||||
\(991\) | −39.3360 | + | 46.8788i | −1.24955 | + | 1.48915i | −0.444694 | + | 0.895682i | \(0.646688\pi\) |
−0.804855 | + | 0.593472i | \(0.797757\pi\) | |||||||
\(992\) | 34.6145 | + | 28.3111i | 1.09901 | + | 0.898879i | ||||
\(993\) | −8.25760 | + | 15.7427i | −0.262047 | + | 0.499579i | ||||
\(994\) | 0.208627 | − | 6.43839i | 0.00661723 | − | 0.204213i | ||||
\(995\) | 4.08532 | − | 3.85430i | 0.129513 | − | 0.122189i | ||||
\(996\) | 28.3406 | + | 2.34189i | 0.898006 | + | 0.0742055i | ||||
\(997\) | −6.80093 | − | 2.93363i | −0.215388 | − | 0.0929091i | 0.285652 | − | 0.958333i | \(-0.407790\pi\) |
−0.501040 | + | 0.865424i | \(0.667049\pi\) | |||||||
\(998\) | −0.0629620 | + | 0.693274i | −0.00199303 | + | 0.0219452i | ||||
\(999\) | 13.6484 | − | 20.9879i | 0.431815 | − | 0.664027i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 648.2.bb.b.155.17 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.60 | yes | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.60 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.17 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.17 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.155.60 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.347.17 | yes | 1872 | 648.347 | even | 54 | inner | |
648.2.bb.b.347.60 | yes | 1872 | 81.23 | odd | 54 | inner |